Free Printable Solving Polynomial Test

1.

$x^2+5x\ +8\ =0$

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

a)

$\frac{-5\pm\sqrt{57}}{2}$

b)

$\frac{5\pm\sqrt{57}}{2}$

c)

$\frac{-5\pm i\sqrt{7}}{2}$

d)

$\frac{5\pm i\sqrt{7}}{2}$

2.

$x^2-6x\ +12\ =0$

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

a)

$3\pm i\sqrt{3}$

b)

$3\pm\ \sqrt{3}$

c)

$\frac{6\pm\sqrt{-12}}{2}$

d)

$3\pm i$

3.

$-x^2+13x\ -10\ =7x$

Put the following quadratic into standard form.

a)

$-x^2+13x\ -17\ =0$

b)

$-x^2+20x\ -10\ =0$

c)

$-x^2+13x\ -3\ =0$

d)

$-x^2+6x\ -10\ =0$

4.

$-x^2+6x\ -10\ =0$

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

a)

$\frac{-6\pm\sqrt{76}}{-2}$

b)

$3\pm i$

c)

$-3\pm i$

d)

$\frac{6\pm\sqrt{76}}{-2}$

5.

$2x^2+8x\ +12.5\ =0$

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

a)

$-2\pm6i$

b)

$\frac{-4\pm i\sqrt{41}}{2}\ which\ is\ equivalent\ to\ \frac{-8\pm2i\sqrt{41}}{4}\ \$

c)

$\frac{4\pm3i}{2}\ which\ is\ equivalent\ to\ \frac{8\pm6i}{4}$

d)

$\frac{-4\pm3i}{2}\ which\ is\ equivalent\ to\ \frac{-8\pm6i}{4}\$

6.

$-2x^2-1x\ -7\ =0$

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

a)

$\frac{1\pm i\sqrt{55}}{-4}$

b)

$\frac{1\pm i\sqrt{55}}{4}$

c)

$\frac{1\pm2\sqrt{14}}{-4}$

d)

$\frac{1\pm2\sqrt{14}}{4}$

7.

$3x^2-8x\ +2\ =-5x\ -\ 11$

Put the following quadratic into standard form.

a)

$3x^2-13x\ -9\ =0$

b)

$3x^2+6x\ -9\ =0$

c)

$3x^2-3x\ +13\ =0$

d)

$6x^2+13\ =0$

8.

$3x^2-3x\ +13\ =0$

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

a)

$\frac{-3\pm7i\sqrt{3}}{6}$

b)

$\frac{3\pm7i\sqrt{3}}{6}$

c)

$\frac{-3\pm i\sqrt{163}}{6}$

d)

$\frac{3\pm i\sqrt{163}}{6}$

9.

Solve $7x^2+21=0$

a)

$x=-3$

b)

$3i$

c)

$x=\pm\sqrt{3}$

d)

$x=\pm i\sqrt{3}$

10.

What is the solution set for the equation x² + 64 = 0

a)

{-8, 8}

b)

{-8i, 8i}

c)

{-16i, 16i}

d)

{-64i, 64i}

11.

Solve: $4x^2+15\ =\ -9$

a)

$x\ =\ \pm2i\sqrt{3}$

b)

$x\ =\ \pm6i$

c)

$x\ =\ \pm i\sqrt{6}$

d)

$x\ =\ \pm3i\sqrt{2}$

12.

Solve. x² = -100

a)

x = 10i

b)

x = ± 10i

c)

x = ±10

d)

x = √10

13.

Solve the following using square roots:

$x^2+36=0$

a)

$x=\pm6i$

b)

$x=\pm6$

c)

$x=\pm36$

d)

$x=\pm6\sqrt{2}$

14.

x²+141=20

a)

-11i, 11i

b)

-11i

c)

11i

d)

no solution

15.

-5x²=200

a)

-10i√2,10i√2

b)

2i√10

c)

-2i√10

d)

-2i√10,2i√10

16.

Factor: $5x+10$

a)

$5\left(x+10\right)\left(x-10\right)$

b)

$5\left(x+10\right)$

c)

$5\left(x+2\right)$

d)

$5\left(x+2\right)\left(x-2\right)$

17.

Factor: $x^2-8x$

(a)

18.

Factor: $2x^2+6x$

(a)

19.

Factor: $3x^2y-12xy^3$

a)

$3\left(x^2y-4xy^3\right)$

b)

$3xy\left(xy-4y^3\right)$

c)

$3x^2y\left(1-4xy^3\right)$

d)

$3xy\left(x-4y^2\right)$

20.

Factor: $x^2+7x+12$ =( (a) )( (b) )

*Write with the largest number first.

Choose from the below words

x+4

x+3

x+12

x-3

x-4

21.

Factor: $x^2-9x+20$

a)

$\left(x-5\right)\left(x-4\right)$

b)

$\left(x-5\right)\left(x+4\right)$

c)

$\left(x+10\right)\left(x+2\right)$

d)

$\left(x-10\right)\left(x-2\right)$

22.

Factor: $x^2+12x+32$ = (a)

Choose from the below words

(x+4)(x+8)

(x-4)(x-8)

(x-4)(x+8)

(x+8)(x-4)

(x-8)(x+4)

23.

Factor: $x^2-15x+50$

(a)

24.

Factor: $2x^2+13x+15$

*Upload your work*

(a)

25.

Factor: $3x^2-13x+4$

*Upload your work*

(a)

26.

Factor: $5x^2-33x-14$

*Upload your work*

(a)

27.

Factor: $6x^2+19x+8$

*Upload your work* (a)

Choose from the below words

(3x+8)(2x+1)

(3x+8)(2x-1)

3x-8

2x+1

(3x-8)(2x+1)

-(3x+8)(2x+1)

(3x+8)+(2x+1)

28.

Factor: $x^2-9$

a)

$\left(x-9\right)^2$

b)

$\left(x-3\right)\left(x+3\right)$

c)

$\left(x-3\right)^2$

d)

$\left(x+9\right)\left(x-9\right)$

29.

Factor: $x^2-64$

(a)

30.

Factor: $x^2-36$

(a)

31.

Factor by Grouping: $x^3+3x^2+2x+6$

*Upload your work*

32.

Factor by Grouping: $x^3+5x^2-2x-10$

*Upload your work*

33.

Factor by Grouping: $x^3+3x^2+4x+12$

*Upload your work*

(a)

34.

Factor by Grouping: $2x^3+14x^2+5x+35$

*Upload your work*

(a)

35.

x²+ 12x + 32 = 0

a)

x = -4, 8

b)

x = 4, 8

c)

x = -4, -8

d)

x = 0, 12

36.

What are the solutions?

a)

x = 0, 2, 4

b)

x = 0, -2, -4, 4

c)

x = 0, 2, -2, 4

d)

x = 2, -2, 4

37.

How many real zeros does the function have?

a)

None

b)

2

c)

3

d)

4

38.

What is the degree of this function?

a)

Even

b)

Odd

39.

This graph is a(n)...

a)

Third degree polynomial

b)

Sixth degree polynomial

c)

Even function

d)

Fifth degree polynomial

40.

To determine if the degree of a function is even or odd, look at the...

a)

x-values

b)

y-values

c)

Maximum/ Minimum

d)

End behaviors

41.

Choose the correct function that represents this graph.

a)

f(x) = x²

b)

f(x) = x³

c)

f(x) = 1/x²

d)

f(x) = ∛x

42.

Which graph is generated by this equation?

y=(x+1)³

a)

b)

c)

d)

43.

What are the zeros of the function?

a)

4,1

b)

3,1,-2,-5

c)

-3, -1, 2, 5

d)

-2,4

44.

What is the equation in factored form of this graph?

a)

f(x) = (x-4)(x-1)²(x+2)(x+4)

b)

f(x) = (x-4)(x+1)²(x+2)(x+4)

c)

f(x) = (x-4)(x-1)²(x-2)(x+4)

d)

f(x) = (x+4)(x+1)²(x-2)(x-4)

45.

How many roots are shown in the picture?

a)

0

b)

1

c)

2

d)

3

46.

How many zeroes are shown in the graph?

a)

1

b)

2

c)

3

d)

4

47.

Identify the zeros

a)

x=2, x=6, x=-4

b)

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

c)

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

d)

x=-2, x=-6, x=4

48.

Even or odd degree?

a)

even

b)

odd

49.

a)

y = ^_(x + 2)(x - 1)²

b)

y = -(x - 2)(x + 1)²

c)

y = (x - 2)(x + 1)²

d)

y = -x³

50.

a)

y = x(x - 3)(x - 2)

b)

y = x(x - 3)²(x+2)

c)

y = x(x + 3)²(x - 2)

d)

y = -x(x + 3)²(x - 2)

51.

Which equation MOST LIKELY matches the graph?

a)

y = x⁴- x³ + 3x² + 2

b)

y = -x⁴ + x³ + 5x + 2

c)

y = x³ - 2x² + 1x + 3

d)

y = -x³ - 2x² + 1x + 3

52.

What is the y-intercept?
f(x) = -x⁴ + x³ + 5x² + x + 6

a)

-1

b)

1

c)

5

d)

6

53.

Is the leading coefficient positive or negative

a)

positive

b)

negative

54.

For each function, state the maximum number of turns the graph could make. f (x) = x³ − x² − 4

a)

6

b)

2

c)

4

d)

5

55.

For each function, state the maximum number of turns the graph could make. f (x) = x² + 6x + 9

a)

6

b)

5

c)

1

d)

4

56.

Which function is graphed?

a)

(x - 4)(x + 2)(x - 8)=y

b)

(x - 4)(x - 2)(x + 8)=y

c)

(x - 4)(x + 2)(x + 8)=y

d)

(x + 4)(x + 2)(x + 8)=y

57.

If FOIL is multiplying, FACTORING is __________

a)

Dividing

b)

Adding

c)

Multiplying

d)

Subtract

e)

Taking away

58.

-7 plus -7 is (a) , and -7 times -7 = (b)

Choose from the below words

-14

49

14

0

7

-49

70

77

-77

59.

When factoring a trinomial, you find two numbers that ______to the middle number, and ________ to the last number

(a)

60.

Factor $x^2-8x+7$

(a)

61.

Find all the roots of y=x³-2x²+4x-8 (Hint: Factor)

a)

-2, 2i, -2i

b)

2, 2i, -2i

c)

2,-2, 2i

d)

1, 2i, 4

62.

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

63.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

64.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

65.

a)

A

b)

B

c)

C

d)

D

66.

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

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

67.

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

68.

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)

69.

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)

70.

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)

71.

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)

72.

What are the zeros of the function?

a)

4,1

b)

3,1,-2,-5

c)

-3, -1, 2, 5

d)

-2,4

73.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

74.

Factor:
x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Prime

d)

( x - 20) ( x + 20)

75.

Is the binomial x - 9 a factor of 4x² -33x -27?

a)

yes

b)

no

76.

x³-3x²-10x+24 ÷ x+3 (Use synthetic division.)

a)

x²-7x+5

b)

x-8

c)

x²-6x+8

d)

x+9

77.

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function? (Prove by using synthetic division.

a)

yes

b)

no

78.

Factor:
f(x) = x³-12x²+47x-60=0 when 5 is a zero. (so f(5) = 0)

a)

(x-3)(x-4)(x-5)=0

b)

(x+1)(x-4)(x-5)=0

c)

(x-3)(x-4)(2x-5)=0

d)

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

79.

What is the remainder when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

a)

0

b)

-10

c)

-2x-10

d)

2

80.

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

a)

2x³-x²-25x-12

b)

2x⁴-x³-25x²-12x+0

81.

What are the three factors for
(x³ +7x² +7x -15) ÷ (x -1)?

a)

(x-1) (x+5) (x-3)

b)

(x-1) (x+5) (x + 3)

c)

(x+1) (x+5) (x-3)

d)

(x+1) (x-5) (x-3)

82.

Find all the real zeros of the function
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

a)

x = 1/2, -6

b)

x = -1/2, 6

c)

x = 4, -1/2, 6

d)

x = -4, 1/2, -6

83.

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

a)

-1,-3,-3

b)

-1,-3,3/2

c)

3,3,3

d)

-3,2/3,-1

84.

True or False

When a polynomial equation has the following factors, (x+3)(x+3)(x-2), we say that x = -3 has a multiplicity of 3.

a)

True

b)

False

85.

When a polynomial has a repeated root, if the root is repeated an odd amount of times (ex. 1,3,5,...) then the graph

a)

crosses the x-axis

b)

goes through the x-axis

c)

touches x axis

d)

crosses the y axis

e)

goes through the y-axis

86.

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

87.

Solve the polynomial equation and determine which graphis correct.

a)

b)

c)

d)

88.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

a)

±1, ±8

b)

±1, ±2, ±4, ±8

c)

±1, ±2, ±4

d)

1, 2, 4, 8

89.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

a)

±1, ±5, ±1/2, ±5/2

b)

±1, ±2, ±5, ±1/2, ±5/2

c)

±1, ±5

d)

±1, ±2, ±5, ±1/2, ±5/2, ±2/5

90.

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ + 2x² - 11x - 12

a)

-3

b)

-4

c)

1

d)

6

91.

Solve by using Rational Root Theorem:
x³ - 7x - 6 = 0

a)

1, 2, 3

b)

-1, -2, - 3

c)

-1, -2, 3

d)

1,-2,-3

92.

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

1, -6, 4

a)

x³+x²-26x+24

b)

x³+9x²-14x+24

c)

x³-x²+14x+24

d)

x³-x²+26x+24

93.

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

1, 2 − √—3

a)

x³-3x²-3x -1

b)

x³+3x²+3x -1

c)

x³-5x²+5x -1

d)

x³+5x²-5x -1

94.

Is (x+5) a factor of x³+2x²-x+4 ?

a)

Yes

b)

No

95.

Solve by completing the square: 25x²+20x+4 = 16

a)

x = 2/5, -6/5

b)

x = - 2/5, 6/5

c)

x = 5/2, -5/6

d)

x = -5/2, 5/6

96.

What would be added on both sides of this equation to complete the square? x²+6x+ _____ = 7 + _____

a)

9

b)

3

c)

12

d)

6

97.

How many x-intercepts does x⁴+6x²+9= 0 have?

a)

2

b)

1

c)

4

d)

None

98.

To determine how many x-intercepts the polynomial has, look at the …

a)

Degree of the function

b)

End behavior

c)

Coeffients

d)

Y-intercept

99.

Is (x-3) a factor of x³-9x²+25x-21?

a)

Yes

b)

No

100.

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

101.

Key Idea

(a) - Product Property

Algebra: If a and b are (b) and (c) , then (d) or (e) .

Choose from the below words

Zero

real numbers

ab = 0

a = 0

b=0

102.

a)

x⁴(x² - 5x - 24)

b)

(x - 8)(x + 3)

c)

x⁴(x - 8)(x + 3)

d)

(x³ - 8)(x³ +3)

103.

What is the degree of the polynomial shown in the image?

a)

1

b)

2

c)

3

d)

4

104.

Which of the following polynomials is written in standard form?

a)

y = 7x³ − 5x² + 2x + 7

b)

y = 8 − 4x² + 3x + 2x³

c)

y = 10x² − 5x⁵+ 2x + 20

d)

y = 1 + 2x² − 3x³ + 4x⁴

105.

Is the leading coefficient for the polynomial shown positive or negative?

a)

Negative

b)

Positive

c)

Cannot be determined

106.

How many zeroes (real and imaginary) does the polynomial have?

a)

2

b)

3

c)

4

d)

5

107.

Is the leading coefficient for the polynomial in the image positive or negative?

a)

Negative

b)

Positive

c)

Cannot be determined

108.

Which of the following does not represent a polynomial?

a)

4 real zeros; 5 imaginary zeroes

b)

1 real zero; 6 imaginary zeroes

c)

3 real zeroes; 4 imaginary zeroes

d)

8 real zeroes; 2 imaginary zeroes

109.

What is the degree of the polynomial shown in the image?

a)

4

b)

5

c)

7

d)

6

110.

A degree three polynomial is also known as a:

a)

monomial

b)

quartic

c)

quadratic

d)

cubic

111.

What is the y-intercept for the polynomial given by:

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ ?

a)

2

b)

-4

c)

9

d)

3

112.

What is the leading coefficient for the polynomial given by:

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ ?

a)

2

b)

10

c)

9

d)

3

113.

The polynomial given by: y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ will have exactly how many zeroes?

a)

5

b)

2

c)

9

d)

8

114.

Which of the following best determines the end behavior of a polynomial?

a)

The number of terms

b)

The degree

c)

The constant term

d)

The leading coefficient

115.

The degree of the polynomial given by

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ is:

a)

8

b)

9

c)

5

d)

-4

116.

The degree of a polynomial always represents the:

a)

end behavior

b)

y-intercept

c)

number of zeroes

d)

quartography

117.

A polynomial of degree n will have at most how many extrema?

a)

n − 1

b)

n + 1

c)

n

d)

n/2

118.

Which one of the following could be the polynomial seen in the image?

a)

y = (x + 3)(x + 1)(x − 2)

b)

y = -(x + 3)(x + 1)(x − 2)

c)

y = -(x − 3)(x + 1)(x + 2)

d)

y = (x + 3)(x + 1)(x + 2)

119.

What is the leading coefficient for the polynomial in the image?

a)

Negative

b)

Positive

c)

Cannot be determined

120.

Given the polynomial below, how many roots will it have?
$y=x^2-25$

a)

2

b)

1

c)

3

d)

0

121.

Given the polynomial below, how many roots will it have?
$y=x^3+5x^2-9x-2$

a)

2

b)

1

c)

3

d)

0

122.

What are the roots of the quadratic function?

a)

-4 and -2

b)

4 and 2

c)

-4 and 2

d)

4 and -2

123.

What is the factored form of the function shown?

a)

y = (x+3)(x-1)

b)

y = (x-3)(x-1)

c)

y = (x+3)(x+1)

d)

y = (x-3)(x+1)

124.

What type of roots does the function have?

a)

Imaginary

b)

Whole Number

c)

Integer

d)

Real

125.

What are the roots of the polynomial?

a)

-3, 0, and 3

b)

0

c)

-2, 10, and -10

d)

11, 0 and -11

126.

What is the degree of the polynomial?

a)

3

b)

0

c)

2

d)

1

127.

What type of function is graphed?

a)

Cubic

b)

Quadratic

c)

Linear

d)

Exponential

128.

What is the factored form of the function graphed?

a)

y = -(x+6)(x-5)(x-8)

b)

y = -(x-6)(x+5)(x+8)

c)

y = -(x-5)(x-8)

d)

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

129.

How many roots does the polynomial have?

a)

4

b)

3

c)

2

d)

1

130.

Given the polynomial below, how many roots will it have?
$y=-2x^5+4x^2-x$

a)

2

b)

3

c)

5

d)

1

131.

What type of roots does the polynomial have?

a)

Three real

b)

One real, and two imaginary

c)

Two real, and one imaginary

d)

Three imaginary

132.

Which quadratic graph has imaginary roots?

a)

b)

c)

d)

133.

Which of the following would be the correct factored form with roots 2, 5i, and 6?

a)

(x-6)(x-2)(x+5i)(x-5i)

b)

(x+6)(x+2)(x+5i)

c)

(x-6)(x-2)(x-5i)

d)

(x+6)(x+2)(x-5i)

134.

What is the degree of x(x + 2)(x - 3)?

a)

1

b)

2

c)

3

d)

4

135.

State the zeros of the polynomial (include multiplicity):
f(x) = (x²+9)(x -1)³(2x + 5)

a)

-9, 1, -5

b)

-9, 1 (multiplicity of 3), -5

c)

± 3i , 1 (multiplicity of 3), -5∕2

d)

± 3i, 1, -5

136.

List the potential real zeros of:
f(x) = 5x³ - x² + 3

a)

±1/5, ±3/5, ±1, ±3

b)

±1/3, ±5/3, ±1, ±5

c)

±1/5, ±3/5, ±1, ±3, ±5

d)

±1/5, ±1/3, ±1, ±3, ±5

137.

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

a)

3

b)

4

c)

5

d)

0

138.

Given the roots, which roots are missing: -7i, 3√2, _____, ______

a)

-7i, 3√2,

b)

-7i, -3√2,

c)

7i, 3√2,

d)

7i, -3√2,

139.

All imaginary roots comes in pairs.

a)

True

b)

False

140.

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

a)

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

b)

f(x) =x³ - 3x² - 6x + 8

c)

f(x) = x³+ 8

d)

f(x) = x³ - 3x² + 8

141.

Which of the following would be the correct factored form with roots 2, 5i, and 6?

a)

(x-6)(x-2)(x+5i)(x-5i)

b)

(x+6)(x+2)(x+5i)

c)

(x-6)(x-2)(x-5i)

d)

(x+6)(x+2)(x-5i)

142.

Find all zeros.

y = x⁴ - 3x³+ 4x²- 8

a)

1, -2, (2±2i√3)/2

b)

-1, 2, (2±2i√3)/2

c)

1, -2, (2±2i√5)/2

d)

-1, 2, (2±2i√5)/2

143.

Find all zeroes given a factor of (x+3).

y = 2x³+ 5x²- 6x - 9

a)

-1,-3,-3

b)

-1,-3,3/2

c)

3,3,3

d)

-3,2/3,-1

144.

The degree of the polynomial determines the number of roots.

a)

True

b)

False

145.

How many positive solutions does the following polynomial have?

f(x) =3x⁵ - x⁴ + 3x² - 6x +11

a)

4, 2, or 0

b)

4

c)

3 or 1

d)

3

146.

A Polynomial of Degree 6 CAN have the following number of imaginary roots:

a)

1

b)

4

c)

3

d)

8

147.

Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)

a)

x = 5, (2/3), 6, (7/4)

b)

x= -5, (3/2), (-4/7), 6

c)

x= 5, (-3/2), (4/7), -6

d)

x= 6, 5, -2/3, -4/7

148.

What are the zeros of the function?

a)

4,1

b)

3,1,-2,-5

c)

-3, -1, 2, 5

d)

-2,4

149.

What is the first step in solving polynomials?

(a)

150.

What is this?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

Solving Polynomial Test

Total questions: 150

Worksheet time: 2hrs 53mins

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