Free Printable Polynomial Test Review

1.

Classify by number of terms:

3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

6-Term Polynomial

2.

Classify by degree of polynomial:

2x – 9

a)

Binomial

b)

Linear

c)

Quadratic

d)

Trinomial

3.

Classify by degree of polynomial:
12

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

4.

Classify by number of terms:

7x³ – 8x² -4x+ 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Quadrinomial

5.

Which polynomial is in standard form?

a)

2 + x + 4

b)

x⁴ + x⁷

c)

2 + x² + 3x

d)

2x³ + 3x² + x + 4

6.

Name the polynomial x³+ 5

(degree and number of terms)

(a)

7.

The sum of the exponents on the variables in a term determines the ______________ .

a)

greatest common factor

b)

coefficient of the term

c)

degree of the polynomial

d)

degree of the term

8.

Perform the indicated operation . Write answer in descending order ( 3x² - 8x + 7 ) + ( 8x² + 9x - 16 )

a)

11x⁴ + x² - 9

b)

11x² - x - 9

c)

11x² -17x - 11

d)

11x² + x - 9

9.

Perform the indicated operation.

Write answer in descending order.

( 17x - 8 ) - ( 9x - 27 )

a)

8x - 35

b)

8x + 35

c)

8x + 19

d)

8x - 19

10.

Perform the indicated operation.

Write answer in descending order.

( 18x² - 13x - 8 ) - ( -7x² - 9x - 17 )

a)

9x² - 22x - 25

b)

25x² - 4x + 9

c)

25x² - 22x + 9

d)

25x² - 4x - 25

11.

What kind of polynomial is $x^{10}+x^{-5}-10$ ?

a)

Monomial

b)

Trinomial

c)

Not a Polynomial

d)

Binomial

12.

Simplify: (x + 1) (x²- 2x + 1)

a)

x³- x²-x + 1

b)

x³- 2x + 2

c)

x³+ x²+ x + 1

d)

x³- 3x²- 3x + 1

13.

What is the standard form of the polynomial,
9x² + 5x + 27 + 2x³

a)

27 + 5x + 9x² + 2x³

b)

9x² + 5x + 2x³ + 27

c)

9x² + 5x + 27 + 2x³

d)

2x³ + 9x² + 5x + 27

14.

(8y+5)²

a)

64²+36

b)

i have no idea

c)

64y²+25

d)

16y+10

15.

$2x\left(-2x-3\right)$ Find the product

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

16.

When factoring the first step is

a)

Look for GCF

b)

Multiply ac

c)

check for factors that add to c

d)

look for special case you can apply

17.

$-6x^2+18x+420$

a)

$-6\left(x+35\right)\left(x-2\right)$

b)

$-6\left(x+7\right)\left(x-10\right)$

c)

$-6\left(x+10\right)\left(x-7\right)$

d)

Not Factorable (Prime)

18.

Factor completely

$x^4+5x^2-14$
when writing your answer: No spaces; ^ before exponent, all lower case.

(a)

19.

$x^3-64$ is a

a)

Perfect cube

b)

Difference of cubes

c)

Difference of squares

d)

Sum of cubes

e)

Prime Polynomial

20.

Factor Completely

$x^3-64$

a)

$\left(x-4\right)\left(3x^2+4x+16\right)$

b)

$\left(x+6\right)\left(x^2+3x+17\right)$

c)

$\left(x-4\right)\left(x^2+4x+16\right)$

d)

$\left(x+4\right)\left(x^2-4x+16\right)$

e)

Prime Polynomial

21.

Factor completely

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

a)

$\left(x+1\right)\left(x^2-5\right)$

b)

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

c)

$\left(x+2\right)\left(x^2+4\right)$

d)

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

e)

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

22.

Factor completely (check each factor)

9x^2-25

a)

$\left(x-1\right)$

b)

$\left(3x-5\right)$

c)

$-9x$

d)

$\left(3x+5\right)$

e)

$\left(9x+25\right)$

23.

A factor is one component of a (a)

24.

the pattern for a sum or difference of cubes is (a)

25.

To solve by factoring set each ______ = _______ and ________ for the variable. (separate each answer with commas (,)use words not numbers)

(a)

Polynomial Test Review

Total questions: 25

Worksheet time: 50mins

Similar Resources on Wayground