Free Printable Polynomial Preview

1.

Add to simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

2.

What are the zeros of the function shown?

a)

{-2, 1, 2}

b)

{-3, 1, 2}

c)

{-4, 2, 5}

d)

{-4, 3, 4}

3.

Factor
81m² - 1

a)

not factorable

b)

(m-9)(m+9)

c)

9m(9m-1)

d)

(9m-1)(9m+1)

4.

Factor
v² - 6v + 9

a)

(v-3)²

b)

(v-6)²

c)

(v-9)(v+6)

d)

not factorable

5.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

6.

Solve
a² + 10a + 21 = 0

a)

± √21

b)

-3 , -7

c)

3 , 7

d)

28 , -7

7.

Solve
h² + 7h + 10 = 0

a)

A. h= -5, -2

b)

B. h= 5, 2

c)

C. h = -1, ^-10/₆

d)

D. h = ^-2/₅, -10

8.

What is the first question you ask yourself when factoring a polynomial?

a)

How many terms does it have?

b)

Is there a GCF?

c)

What strategy should I use?

d)

Why do I have to learn this?!?!?!

9.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

10.

Solve using Zero-Product Property
(x-11)(5x+1) = 0

a)

x = 11 or x = -1/5

b)

x = -11 or x = -1/5

c)

x = 11 or x - 1/5

d)

x = -11 or x = 1/5

11.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

12.

a)

516

b)

471

c)

542

d)

567

13.

3282 ÷ 6, use long division.

a)

499

b)

545

c)

547

d)

582

14.

What is 2637 divided by 18? Use long division.

a)

146

b)

152

c)

67

d)

231

15.

398 ÷ 11, use long division

a)

36.7

b)

36.2

c)

42.8

d)

36

16.

353 ÷ 18, use long division.

a)

11 R17

b)

18 R29

c)

11 R19

d)

19 R11

17.

1245 divided by 83 using long division.

a)

15

b)

16

c)

14

d)

17

18.

247 divided by 19 equals. Use long division.

a)

11

b)

21

c)

13

d)

23

19.

What word(s) correlate with the x-values of a relation?

a)

inputs

b)

outputs

c)

domain

d)

range

20.

What word(s) correlate with the y-values of a relation?

a)

inputs

b)

outputs

c)

domain

d)

range

21.

Given the following graph, determine if the relation is a function:

a)

Function

b)

Not a function

22.

Evaluate f(-2) for the following function:

f\left(x\right)=-4x+7

(a)

23.

Evaluate f(-5) for the following function:

f\left(x\right)=-x-3

(a)

24.

Given the two functions evaluate the following:

\frac{f\left(3\right)}{g\left(-2\right)}

f\left(x\right)=12-x

g\left(x\right)=4\left(5-x\right)

(a)

25.

What type of function is this?

a)

Logarithmic

b)

cubic

c)

quadratic

d)

linear

26.

What type of function is this?

a)

Linear

b)

quadratic

c)

cubic

d)

square root

27.

What is the leading coefficient of this polynomial?

a)

8

b)

-4

c)

-1

d)

1

28.

Classify by the DEGREE:
3x - 2

a)

1

b)

2

c)

3

d)

4

29.

What is the value of the constant?
2x² + 4x − 5

a)

2

b)

4

c)

5

d)

−5

30.

Classify the polynomial by its number of terms.
4x² - 2

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

31.

Is $y=5x^4-7x^3+17x^2-3x+1$ a polynomial?

a)

Yes, and the degree is 4 with leading coefficient 5.

b)

No

32.

Is $y=\ \frac{2}{3}x^5-3x^4+8x^2-16$ a polynomial?

a)

Yes, and the degree is 5 with leading coefficient 2/3.

b)

No

33.

What are the roots of f(x) = (x - 4)(x +1) (x + 3)

a)

-4, 1, and 3

b)

-4 and 1

c)

4, -1. -3

d)

3

34.

How many roots does f(x) = (x + 1)(x -6)(x -10) have?

a)

3

b)

1

c)

6

d)

10

35.

Which one of these is NOT another word for roots?

a)

solutions

b)

y intercepts

c)

zeros

36.

Which form is this polynomial?

f(x) = x⁵ + 6x⁴ - x³ + 3x² +5x - 10

a)

Standard form

b)

Factored form

37.

Which form is this polynomial?

f(x) = (x + 4)(x - 8)(x -12)

a)

Standard form

b)

Factored form

38.

y = x⁸ + 9x⁴ + 6 is an example of a __________________.

a)

monomial

b)

binomial

c)

trinomial

39.

Polynomial means "many terms".

a)

True

b)

False

40.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f\cdot g\right)\left(x\right)=$

a)

$5x-3$

b)

$5x^2+2$

c)

$5x^2-7x+2$

d)

$5x-7$

41.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(\frac{f}{g}\right)\left(x\right)$

a)

$\frac{x-1}{5x-2}$

b)

$\frac{5x-2}{x-1}$

c)

$\frac{-1}{3}$

d)

$-3$

42.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f+g\right)\left(x\right)=$

a)

$4x^4-8x-8$

b)

$4x^4-8x$

c)

$4x^2-8x-8$

d)

$4x^2-8x$

43.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f-g\right)\left(x\right)=$

a)

$2x^2-8x-8$

b)

$2x^2+8x-8$

c)

$2x^2-8x$

d)

$2x^2+8x$

44.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

45.

Evaluate f(x) = x² for f(-8)

a)

64

b)

-64

c)

-16

d)

16

46.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

47.

Evaluate f(2).

a)

f(2) = 5

b)

f(2) = 12

c)

f(2) = 10

d)

f(2) = 0.5

48.

Evaluate f(6).

a)

f(6) = 18

b)

f(6) = 12

c)

f(6) = 10

d)

f(6) = 1

49.

Find the function's maximum and minimum points

a)

no maximum

minimum (-4,-1)

b)

no minimum

maximum (-3, 1)

c)

no maximum

minimum (-1,-4)

d)

maximum (-3,1)

minimum (0,-3)

50.

Identify the intervals where the function is positive and where it is negative.

a)

positive (-1, ∞) and negative (-∞, -1)

b)

positive nowhere and negative (-1, -4)

c)

positive (-∞,-3) and (1,∞) and negative (-3,1)

d)

positive (-∞,∞) and negative (-4,∞)

51.

Identify where the function is increasing and where it is decreasing.

a)

increasing (-1, ∞) and decreasing (-∞,-1)

b)

increasing (-∞, -1) and decreasing (-1, ∞)

c)

increasing (-∞,∞) and decreasing nowhere

d)

increasing (-1, -4) and decreasing (-3, 1)

52.

Identify the function's domain and range.

a)

domain (-∞,∞) and range (-∞,∞)

b)

domain (-∞, ∞) and range (-4,∞)

c)

domain (-∞,∞) and range [-4,∞)

d)

domain [-3, 1] and range [-4,∞)

53.

Identify the function's x- and y-intercepts.

a)

x-int (-2,0), (1,0), and (3,0) and y-int (3,0)

b)

x-int (-2,0), (1,0), and (3,0) and y-int (0,3)

c)

x-int (0,-2), (0,1), and (0,3) and y-int (0,3)

d)

x-int (0,-2), (0,1), and (0,3) and y-int (3,0)

54.

Where is the function positive and where is it negative?

a)

positive (-2,1) and (3,∞) and negative (-∞,-2) and (1,3)

b)

positive (-∞,-1) and (2,∞) and negative (-1,2)

c)

positive (-1,4) and negative (2,-2)

d)

positive (∞,3) and (1,-2) and negative (3,1) and (-2,-∞)

55.

Describe the function's end behavior.

a)

$As\ x\rightarrow-\infty,\ y\rightarrow-\infty$
$As\ x\rightarrow\infty,\ y\rightarrow-\infty$

b)

$As\ x\rightarrow-\infty,\ y\rightarrow-\infty$
$As\ x\rightarrow\infty,\ y\rightarrow\infty$

c)

$As\ x\rightarrow-\infty,\ y\rightarrow\infty$
$As\ x\rightarrow\infty,\ y\rightarrow-\infty$

d)

$As\ x\rightarrow-\infty,\ y\rightarrow\infty$
$As\ x\rightarrow\infty,\ y\rightarrow\infty$

56.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

57.

To graph the inverse of a function...

a)

Rotate it around the origin

b)

Reflect it across the x-axis

c)

Reflect it across the y-axis

d)

Switch the x and y coordinates and plot the new points

58.

f^-1(x) is written when...

a)

The inverse is not a function

b)

The function fails the HLT

c)

The inverse is a function

d)

There are two different functions

59.

Find the inverse: f(x) = x³-1

a)

f^-1(x)= ³√x+1

b)

f^-1(x)= ³√x-1

c)

f^-1(x)= (x-1)/3

d)

f^-1(x)= (x+1)/3

60.

Will the inverse of this function, be a function?

a)

No

b)

Yes

c)

No way to tell

61.

Simplify each expression.

a)

A

b)

B

c)

C

d)

D

62.

Simplify each expression

a)

A

b)

B

c)

C

d)

D

63.

Simplify each expression.

a)

A

b)

B

c)

C

d)

D

64.

Find each product.

a)

A

b)

B

c)

C

d)

D

65.

Find each product.

a)

A

b)

B

c)

C

d)

D

66.

Find each product.

a)

A

b)

B

c)

C

d)

D

67.

What is the degree of this polynomial?

2x⁴- 3x⁵+ x

a)

-3

b)

2

c)

4

d)

5

68.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

69.

What is the coefficient of this term?

9x³

a)

None

b)

9

c)

3

d)

x

70.

Classify by number of terms:

5x² – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

71.

Simplify the Expression:

3x + 6 - 2x +7

a)

14

b)

14x

c)

x + 13

d)

x - 13

72.

What is the the DEGREE:

4x³ - 5x² + 2x - 1

a)

1

b)

2

c)

3

d)

4

73.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

74.

What are like terms?
Terms that have....

a)

the same variables

b)

the same exponents

c)

the same coefficients

d)

the same variables and exponents

75.

The number in front of the variable is called the....

a)

exponent

b)

base

c)

coefficient

d)

fronter

76.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

77.

Simplify this polynomial:

n - 10 + 9n - 3

a)

-3

b)

9n - 3

c)

n

d)

10n - 13

78.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

79.

Simplify this polynomial:

3x²- x + 2 - 5x²+ 8x - 5

a)

8x²+ 9x + 7

b)

-2x²+ 7x - 3

c)

2x²+ 7x - 3

d)

5x²- 3

80.

Classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading coefficient, and the degree of the polynomial.

$f\left(x\right)=9x^2-8+0.18x-9x^3$

a)

Cubic
Leading Term: $-9x^3$
Leading Coefficient: $-9$
Degree: $3$

b)

Constant
Leading Term: $-8$
Leading Coefficient: $-8$
Degree: $1$

c)

Cubic
Leading Term: $x^3$
Leading Coefficient: $-9$
Degree: $3$

d)

Quadratic
Leading Term: $9x^2$
Leading Coefficient: $9$
Degree: $2$

e)

I don't know how to do this.

81.

Use the leading-term test to match the function with the correct graph.

$f\left(x\right)=x^5-x^4+x^3+6$

a)

b)

c)

d)

e)

I don't know how to do this.

82.

Determine whether the function is a polynomial function, if yes write in standard form:

f\left(x\right)=\frac{1}{2}x^4-x^2+3x^3

a)

yes, $f\left(x\right)=\frac{1}{2}x^4+3x^3-x^2$

b)

yes, $-x^2+3x^3+\frac{1}{2}x^4$

c)

no

d)

I don't know how to do this.

83.

Write this polynomial in standard form:

$x^2+5x^5-3x+2x^3-10$

a)

$5x^5+2x^3+3x+x^2-10$

b)

$5x^5+2x^3+x^2-3x-10$

c)

$5x^5+2x^3+x^2+3x-10$

d)

$2x^3+5x^5+x^2-3x-10$

e)

I don't know how to do this.

84.

What are the factors of

25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

e)

I don't know how to do this.

85.

(x + 5)²

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

e)

I don't know how to do this.

86.

How many zeros does the polynomial function

P(x) = 3x⁴+4x-8 have?

a)

1

b)

2

c)

3

d)

4

e)

I don't know how to do this.

87.

Find the product: $\left(x-7\right)\left(x+7\right)$ Use the area model in a separate space to calculate.

a)

$x^2-14x-49$

b)

$x^2-14x+49$

c)

$x^2-49$

d)

$x^2+49$

e)

I don't know how to do this.

88.

Factor the polynomial: $6x^2-7x-3$

a)

$\left(2x+3\right)\left(3x-1\right)$

b)

$\left(3x+3\right)\left(2x-1\right)$

c)

$\left(3x-3\right)\left(2x+1\right)$

d)

$\left(3x+1\right)\left(2x-3\right)$

e)

I don't know how to do this.

Polynomial Preview

Total questions: 88

Worksheet time: 7hrs 20mins

Similar Resources on Wayground