Free Printable Final Exam

1.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

2.

Factor the polynomial.

x²-4x-32

a)

(x-8)(x+4)

b)

(x-4)(x-32)

c)

(x+3)(x-4)

d)

(x+2)(x+5)

3.

Factor completely
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

4.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

5.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

6.

Factor
n²-13n+40

a)

(n-5)(n-8)

b)

(n+5)(n-8)

c)

(n-5)(n+8)

d)

(n+6)(n+1)

7.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

8.

Factor 6x²-27x

a)

(6x+1)(x+3)

b)

3x(2x-9)

c)

6x(x-9)

d)

(3x-9)(2x+3)

9.

Factor x²+ 6x + 9 = 0 and solve for x.

a)

(x+3)(x+3); x = -3

b)

(x+4)(x+5); x=-4, -5

c)

(x-3)(x-3); x=3

d)

Not factorable

10.

State the degree of the polynomial:
f(x) = 2x⁴ + 19x² + 24

a)

1

b)

2

c)

3

d)

4

11.

State the leading term of the polynomial:
f(x) = 6x⁵ + 9x⁴ + 2x³ + 3x² - 4x -6

a)

9x⁴

b)

-4x

c)

6x⁵

d)

3x²

12.

Which one of these is in standard form?

a)

x⁴ + 25x²- 10x³

b)

x⁴ - 10x³ + 25x²

c)

- 10x³ + 25x²+ x⁴

d)

25x²+ x⁴ - 10x³

13.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

14.

What is the degree of this polynomial?

2x⁴- 3x⁵+ x

a)

-3

b)

2

c)

4

d)

5

15.

Solve the polynomial equation:

x²-4x-32 =0

a)

x = -4,8

b)

x = 4,32

c)

x = -3,4

d)

x= -2,-5

16.

Solve the polynomial equation:

6x²-27x

a)

x = -3, -1/6

b)

x = 0, 9/2

c)

x = 0, 9

d)

x= -3/2, 3

17.

Solve the polynomial equation:

3x² + 18x +15

a)

x = 1

b)

x = 1, 5

c)

x = -5, -1

d)

Prime

18.

Solve the polynomial equation:

n²-13n+40

a)

n = 5, 8

b)

n = -5, 8

c)

n = -8, 5

d)

n = 6, 1

19.

Solve the polynomial equation:

x² + 15x + 64 = 20

a)

x = -8, 2

b)

x = -7, 5

c)

x = -11, -4

d)

x = -11

20.

Solve by Factoring: 4x² + 11x - 3 = 0

a)

x = -3/4 and x = -1

b)

x = 4 and x = 3

c)

x = 1/4 and x = -3

d)

x = -1/4 and x = 3

21.

Solve by Factoring:
x² + 15x + 64 = 20

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

22.

Solve x⁴ - 256 = 0

a)

x = 4, x = - 4

b)

x = 4, x = 4i

c)

x = 4, x -4, x = 4i

d)

x = 4, x -4, x = 4i, x = -4i

23.

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

a)

3, √5

b)

3, √5, -√5

c)

-3, √5, -√5

d)

-3, 5i, -5i

24.

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

a)

6, 3, -3

b)

-6, 3, -3

c)

-6, 3i, -3i

d)

6, 3i, -3i

25.

Solve (x²-9) = 0

a)

x = 9

b)

x = 9, -9

c)

x = 3, -3

d)

x = 3

26.

Solve the following equation. x⁴+4x³ + 3x²= 0

a)

x = 0, x = 3, x = 1

b)

x = -3, x = -1

c)

x = 3, x = 1

d)

x = 0, x = -3, x = -1

27.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

28.

What are two solutions to the polynomial:
x²+14x=0

a)

x=0, x= 14

b)

x=-14

c)

x= 1, x =10

d)

x= -14, x = 0

29.

Solve: 2x²-14x+24 = 0

a)

x = 4, 3

b)

x = 9/2, 10/4

c)

x = -3, -4

d)

x = -9/2, -10/4

30.

What are the solutions? (Hint Factor and solve)

a)

x=0, x=-2 and x=7

b)

x=2 and x=7

c)

x=-2 and x=7

d)

x=0 and x=3 and x= 42

31.

The solutions of the quadratic equation
x²+5x+6=0 are

a)

x= -3 or x = -2

b)

x = -6 or x = 1

c)

x = 3 or x = 2

d)

x = -3 or x = 2

32.

Solve

x² + 2x - 20 = 4

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

33.

Solve by factoring:3x² + 5x + 2 = 0

a)

x = -2/3 and x = -1

b)

x = -3/2 and x = -1

c)

x = 2/3 and x = 1

d)

x = 2/3 and x = -1

34.

Solve
16a² - 9 = 0

a)

a = ^-3/₄, ³/₄

b)

a = ^-4/₃, ⁴/₃

c)

a = ^-9/₁₆, ⁹/₁₆

d)

a = ^-16/₉, ¹⁶/₉

35.

Solve: 14m²-12m = 0

a)

m=2 and m=76

b)

m=2 and m=0

c)

m=14 and m=12

d)

m=0 and m=6/7

36.

Factor this difference of cubes:
x³ - 343

a)

(x + 7) (x² - 7x + 49)

b)

(x² + 1) (x - 343)

c)

(x - 7) (x² + 7x + 49)

d)

(x² - 343) (x + 1)

37.

Factor: x³+ 1

a)

(x + 1)³

b)

(x+1)(x²- x + 1)

c)

(x - 1) (x² + x - 1)

d)

(x + 1)(x² - 2x + 1)

38.

Factor by grouping:
30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

39.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

40.

Even Multiplicities have which of the following effects on the x-axis?

a)

touches and bounces back

b)

wiggle

c)

crosses the x-axis

41.

Which zero has an odd multiplicity?

a)

-4

b)

4

c)

2

d)

-2

42.

Which root has even multiplicity?

a)

1

b)

-4

c)

-1

d)

2

43.

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

a)

0, 6, -5

b)

6, -5

c)

0, -6, 5

d)

1, -6, 5

44.

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

a)

-2, 7 multiplicity 3

b)

-2, 7, 3

c)

2, -7 multiplicity 3

d)

2, -7, 3

45.

What is the Degree of this polynomial:
f(x)= x³(x + 3)²(x – 5)

a)

Degree: 6

b)

Degree: 5

c)

Degree: 3

d)

Degree: 2

46.

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

a)

{0 mult. 3, 5, 2}

b)

{−2 mult. 3, 3, 1}

c)

{0 mult. 3, 3, 2}

d)

{2 mult. 3, 3, 3}

47.

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

a)

{0 mult. 3}

b)

{0, 3, 1}

c)

{0, −2, −1}

d)

{−2, 3, 1}

48.

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

a)

-2, 3 (multiplicity 2), 4

b)

-2 (multiplicity 2), 3, 4

c)

2, -3 (multiplicity 2), -4

d)

2 (multiplicity 2), -3, -4

49.

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

a)

(x + 5)³(x - 9)²(x + 2)(x - 4)

b)

(x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷

c)

(x + 5)³(x - 9)²(x + 2)

d)

(x + 5)(x - 9)(x + 2)(x - 4)

50.

What are the roots of the polynomial function?
y = 9(x + 2)(x - 7)³

a)

-2, 7 multiplicity 3

b)

-2, 7, 0

c)

9, 2, -7 multiplicity 3

d)

2, -7, 3

51.

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

a)

x = -4, x = 3, x = -2

b)

x = -4, x = 3, x = 2

c)

x = -4, x = -3, x = 2

d)

x = 4, x = 3, x = 2

52.

State the zeros of the polynomial (include multiplicity):
f(x) = x⁴(x+3)²(x - 2)

a)

0, 3, 2

b)

0(multiplicity of 4), -3 (multiplicity of 2), 2

c)

-3 (multiplicity of 2), 2

d)

0, 2 (multiplicity of 3)

53.

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

a)

0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

b)

2 (Mult of 3), 7 (mult 1)

c)

0, 2, 7

d)

2 (mult of 2), 7 (mult of 3)

54.

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

a)

(x + 5)³(x - 9)²(x + 2)(x - 4)

b)

(x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷

c)

(x + 5)³(x - 9)²(x + 2)

d)

(x + 5)(x - 9)(x + 2)(x - 4)

55.

Even Multiplicities have which of the following effects on the x-axis?

a)

Cross the x-axis

b)

touches and bounces back

56.

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4 Degree: 7

a)

(x + 5)³(x - 9)²(x + 2)(x - 4)

b)

(x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷

c)

(x + 5)³(x - 9)²(x + 2)

d)

(x + 5)(x - 9)(x + 2)(x - 4)

57.

What is the Degree of this polynomial:
f(x)= x³(x + 3)²(x – 5)

a)

Degree: 6

b)

Degree: 5

c)

Degree: 3

d)

Degree: 2

58.

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

a)

Even

b)

Odd

c)

None

59.

Odd Multiplicities have which of the following effects on the x-axis?

a)

Cross the x-axis

b)

Turn on the x-axis

60.

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

a)

-2, 7 multiplicity 3

b)

-2, 7, 3

c)

2, -7 multiplicity 3

d)

2, -7, 3

61.

The degree of a polynomial determines...

a)

the maximum number of x-intercepts

b)

the number of turning points

c)

if the end behavior is up or down

d)

the y-intercept

62.

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

a)

0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

b)

2 (Mult of 3), 7 (mult 1)

c)

0, 2, 7

d)

2 (mult of 2), 7 (mult of 3)

63.

Find the zeros.

(x-5)(x+6)=0

a)

{5,5 }

b)

{ -5,-5 }

c)

{ -5,-6 }

d)

{5,-6 }

64.

Find the zeros.

(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

65.

Find the zeros.

(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

66.

Solve and find your x-intercepts:
0=x(x - 6)

a)

x=0 and x=-6

b)

x=1 and x=-6

c)

x=0 and x=6

d)

x=6

67.

Find the zeros.

5(x+12)(x-12) = 0

a)

{5,12,-12}

b)

{-12, 12}

c)

{0,12,-12}

d)

{12}

68.

Find the zeros.

8x(2x + 4)(x - 6)

a)

x = - 2, 6, - 8

b)

x = 2, 6, 0

c)

x = - 2, 6, 0

d)

x = - 8, 4, 6

69.

Solve by grouping.

12x(x + 2) + 2x + 4

a)

(12x + 2x)(x + 6)

b)

(12x + 2)(x + 2)

c)

14x + 6

d)

(12x + 1)(x + 2)

70.

Which of the equations is equivalent to:

4x(x - 5) + 6(x - 5) = 0

a)

(4x + 6)(x - 5) = 0

b)

(4x + 6)(x + 5)²= 0

c)

4x(6)(x -5) = 0

71.

Select the two numbers that add to 10 and multiply to 21.

a)

7

b)

6

c)

3

d)

4

72.

Select the two numbers that add to 5 and multiply to 4.

a)

1

b)

4

c)

2

d)

3

73.

Select the two numbers that add to - 4 and multiply to -32.

a)

-8

b)

-1

c)

-3

d)

4

74.

Select the two numbers that add to -7 and multiply to 12.

a)

-3

b)

3

c)

4

d)

-4

75.

Factor by grouping

x³ - 4x² -4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)

76.

Decide if (x-3) is a factor of 3x³+10x²-x-12

a)

Yes, it is a factor

b)

No, it is not a factor

77.

Factor by GCF:
63x⁴ - 7x² + 28x

a)

7x(9x² - 7 + 4x)

b)

x(63x³ - 7x + 28)

c)

7x(9x³ - x + 4)

d)

not factorable

78.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

79.

Factor by grouping:
x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

80.

$\frac{x^2+12x+27}{x+9}$

a)

x+3

b)

x+9

c)

x-3

d)

x-9

81.

$\frac{x^2-13x+40}{x-8}$

a)

x-8

b)

x-5

c)

x+8

d)

x+5

82.

$\frac{x^2-7x-44}{x+4}$

a)

x-7

b)

x+4

c)

x-11

d)

x+7

83.

$\frac{x^2+x-42}{x-6}$

a)

x+6

b)

x+8

c)

x-6

d)

x+7

84.

$\frac{2x^2+9x+4}{2x+1}$

a)

x+4

b)

x-4

c)

2x+1

d)

2x+4

85.

a)

8x²y³+7x⁴+5y

b)

8x⁶y⁷-7x⁵y⁸-7x⁴y⁵

c)

8x⁶y⁷-7x⁵y⁸-5x⁴y⁵

d)

8x²y³-7xy⁴-5y

86.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

87.

$\left(4x^4-8x^3-3x^2+7x-2\right)\div\left(2x-1\right)$

Use long division to evaluate

a)

$2x^3-3x^2-3x+2$

b)

$2x^3+3x^2+3x+2$

c)

$2x^3-3x^2-3x-2$

d)

$2x^3+2$

88.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

89.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

90.

What is the proper way to write the answer for the following problem?

a)

2x³-x²-25x+12

b)

2x⁴-x³-25x²-12x+0

c)

2x³-x²-25x-12

d)

2x⁴-x³-25x²-12x-0

91.

Synthetic Division only uses the ____________ of a polynomial to divide.

a)

Terms

b)

Numbers (coefficients)

c)

Variables

d)

Numbers and letters

92.

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

a)

Cam wrote the remainder incorrectly.

b)

Cam did not use a zero place holder for the x³ term.

c)

Cam added instead of subtracting the rows.

d)

Cam should have used -2 as his division since the factor was x-2.

93.

Find the zeros of the polynomial given one factor. Use synthetic division.

a)

X= 3,4,5

b)

x=-3,-4,-5

c)

x=-3,4,5

d)

x= 3, -4, -5

94.

Factor f(x)= x³ - 2x²-13x - 10 given that
(x - 5) is one factor.

a)

(x- 5)(x - 1)(x - 2)

b)

(x - 5)(x + 2)(x - 2)

c)

(x - 5)(x + 2) (x + 1)

d)

(x - 5)(2x - 13)

95.

a)

This graph has two imaginary roots because it is a polynomial of degree two.

b)

This graph has two imaginary roots because it has one hump.

c)

This graph has two imaginary roots because it touches the x-axis at two points.

d)

This graph is imaginary because it the graph has shifted up.

96.

What is the least degree of the graph of the above polynomial?

a)

3

b)

4

c)

5

d)

Not enough information

97.

If 2i is a zero, then

a)

2i repeats twice

b)

-2i is a zero too

c)

1-2i is a zero too

d)

0+2i is a zero too

98.

How many zeros does the following function have?
f(x)= x⁵- 3x³ + x

a)

8

b)

9

c)

5

d)

3

99.

What is the Degree of this polynomial:
f(x)= x³(x + 3)²(x – 5)

a)

Degree: 6

b)

Degree: 5

c)

Degree: 3

d)

Degree: 2

100.

Classify this polynomial by its degree and number of terms: x² + 6

a)

Linear polynomial

b)

Quadratic trinomial

c)

Quadratic binomial

d)

Cubic binomial

101.

Classify this polynomial by its degree and number of terms: x² + 2x + 6

a)

Linear polynomial

b)

Quadratic trinomial

c)

Quadratic binomial

d)

Cubic trinomial

102.

Classify this polynomial by its degree and number of terms: 4x³

a)

Cubic monomial

b)

Linear binomial

c)

Cubic binomial

d)

6th degree (sextic) monomial

103.

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

a)

True

b)

False

104.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

105.

Classify by number of terms:

5x² – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

106.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

107.

Classify this polynomial by its degree and number of terms: 4x⁵

a)

Linear monomial

b)

Quadratic polynomial

c)

Cubic Monomial

d)

Quintic monomial

108.

Simplify into Standard Form:

$4x^2-5x+10+2x^2\ +12x\ -3$

a)

$6x^2+7x\ +8$

b)

$6x^2+7x\ +7$

c)

$11x^2+7$

d)

$7$

109.

What is the Degree of the Polynomial?

5x³ - 6x + 1

a)

Linear

b)

Quadratic

c)

Cubic

d)

Quartic

110.

Put the polynomial in standard form.

7x - 12x² + 8x + 5x²

a)

$-7x^2+15x$

b)

$7x^2+15x$

c)

$17x^2+15$

d)

$32x^4$

111.

Put in Standard Form.
12 - 3x³ - 10x - x²

a)

- 3x³ - x² - 10x + 12

b)

3x³ - x² + 10x + 12

c)

12 - 3x³ - 10x - x²

d)

12 - 10x - 3x³ - x²

112.

Classify this polynomial by its degree and number of terms: 6x⁵ + 2x -11

a)

Quintic polynomial

b)

Quintic trinomial

c)

Quartic binomial

d)

Cubic trinomial

113.

Simplify into Standard Form:

$4x\ +\ 8x^{3\ }-11x\ +9$

a)

$8x^3-7x\ +9$

b)

$8x^3$

c)

$8x^3+15x\ +9$

d)

$35x^5$

114.

Simplify into Standard Form and Classify:

$5x\ +\ 10\ -\ 8x\ +12$

a)

$-3x\ +\ 12$

Linear Binomial

b)

$-3x\ +\ 22$

Linear Binomial

c)

$-13x\ +22$

Linear Binomial

d)

$37x$

Linear Monomial

115.

Simplify into Standard Form and Classify:

$25x^2\ +\ 3x\ -\ 13x^2\ -3x$

a)

$12x$

Linear Monomial

b)

$12x^2$

Quadratic Monomial

c)

$12x^2\ +6x$

Quadratic Binomial

d)

$15x^2+6x\ -12$ Quadratic Trinomial

116.

Classify this polynomial by its degree and number of terms: x² + 6

a)

Linear polynomial

b)

Quadratic trinomial

c)

Quadratic binomial

d)

Cubic binomial

117.

Classify this polynomial by its degree and number of terms: 5x³ + 6x

a)

Linear polynomial

b)

Quadratic trinomial

c)

Quadratic binomial

d)

Cubic binomial

118.

Classify this polynomial by its degree and number of terms: 3x⁴

a)

Cubic monomial

b)

Quartic monomial

c)

Cubic polynomial

d)

Quadratic monomial

119.

Classify this polynomial by its degree and number of terms: 3x⁴ - 5x + 1

a)

Cubic monomial

b)

Quartic monomial

c)

Cubic polynomial

d)

Quartic trinomial

120.

Simplify into Standard Form and Classify:

$x^2-8x^3+3x^2-9$

a)

$-8x^3+4x^2+9$ Cubic Trinomial

b)

$8x^3+4x^2+9$

Cubic Tirnomial

c)

$4x^3$

Cubic Monomial

d)

$4x^4-8x^3+9$ Quintic Trinomial

121.

Classify this polynomial by its degree and number of terms: 3x

a)

Linear monomial

b)

Quadratic trinomial

c)

Quadratic binomial

d)

Cubic monomial

122.

Which of the following is a 5th degree trinomial with a leading coefficient of -2?

a)

-2x⁵ + 3x - 1

b)

5x^-2 +3x - 1

c)

-2x⁵ + 3x⁴ + 2x³ + x² - 10

d)

2x + 5

123.

Which of the following is a 5th degree trinomial with a leading coefficient of -2?

a)

-2x⁵ + 3x - 1

b)

5x^-2 +3x - 1

c)

-2x⁵ + 3x⁴ + 2x³ + x² - 10

d)

2x + 5

124.

What is the leading coefficient?
f(x)=5x²+3x³-2x+1

a)

5

b)

3

c)

-2

d)

1

125.

What is the Degree of the Polynomial?

5x³ - 6x + 1

a)

Linear

b)

Quadratic

c)

Cubic

d)

Quartic

126.

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

a)

Degree of 1

b)

Degree of 2

c)

Degree of 3

d)

Degree of 4

127.

Classify by the DEGREE:
3x - 2

a)

Degree of 1

b)

Degree of 2

c)

Degree of 3

d)

Degree of 4

128.

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

a)

Boss coefficient

b)

Leading coefficient

c)

Best coefficient

d)

Greatest common coefficient

129.

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

a)

True

b)

False

130.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

131.

What is the degree of the function graphed here?

a)

2

b)

3

c)

4

d)

5

132.

Is the leading coefficient positive or negative

a)

positive

b)

negative

133.

Is this expression in Standard Form?
6w² - 9w³

a)

Yes

b)

No

134.

Put in Standard Form
6w² - 9w³

a)

It is in Standard Form

b)

-9w³ + 6w²

135.

What is the Leading Coefficient?
-9w³ + 6w²

a)

-9

b)

6

c)

3

d)

2

136.

What are the coefficients?
-9w³ + 6w²

a)

-9, 3

b)

-9, 6

c)

6, 2

137.

What is the degree?
-9w³ + 6w²

a)

9

b)

3

c)

2

d)

6

138.

What type of expression is this?
-9w³ + 6w²

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

139.

Name this polynomial.
-9w³ + 6w²

a)

Linear

b)

Quadratic

c)

Cubic

d)

Quartic

140.

What is the name of the following function (5)

(a)

141.

What is the name of the following function (x+4)

(a)

142.

What is the name of the following function ( $4x^2$ )

(a)

143.

What is the name of the following function ( $4x^3-2x^2+x$ )

(a)

144.

What is the name of the following function ( $2x^4+5x^2$ )

(a)

145.

What is the name of the following function( $-x^5+4x^2+2x+1$ )

(a)

146.

Simplify:

(2x²)³

a)

8x⁵

b)

8x⁶

c)

6x⁶

147.

What value of p will make this equation true?

a)

-10

b)

-6

c)

2

d)

10

148.

a)

A

b)

B

c)

C

d)

D

149.

Simplify.
(3x² - 2x) - (-2x² + 3x)

a)

x² + x

b)

5x² + x

c)

5x² - 5x

d)

x² - 5x

150.

What are the zeros of the function?

a)

4,1

b)

3,1,-2,-5

c)

-3, -1, 2, 5

d)

-2,4

151.

How many roots are shown in the picture?

a)

0

b)

1

c)

2

d)

3

152.

How many zeroes are shown in the graph?

a)

1

b)

2

c)

3

d)

4

153.

Which root has a multiplicity of 2?

a)

-1

b)

2

c)

4

d)

-4

154.

Use the graph to determine the solutions.

a)

x = -1 and x = -3

b)

x = 1 and x = -3

c)

x = 1 and x = 3

d)

x = -1 and x = 3

155.

What are the x- intercepts?

a)

(0,0) and (-4,0)

b)

(0,0) and ( 4,0)

c)

(0,0) and ( 2, -2)

d)

(0, 4) and (0, 0)

156.

What is the equation for this parabola in factored form?

a)

y=(x+2)(x-1)

b)

y=(x-2)(x+1)

c)

y=(x-2)(x-1)

d)

y=(x+2)(x+1)

157.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

158.

Find the root(s) of the function.

a)

x = 3

b)

x = {-3, -1, 2}

c)

x = {-3, 2}

d)

x = -1

159.

How many zeros does this equation have?

$y=x\left(x-2\right)\left(2x+1\right)\left(x-4\right)\left(x+7\right)$

a)

4

b)

5

c)

3

d)

2

160.

What is the factor of the equation y= $3x^3-6x^2+3x$

(a)

Final Exam

Total questions: 160

Worksheet time: 5hrs 29mins

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