Free Printable 2025 Polynomials Quiz Review

1.

What is the degree of the polynomial?
9x⁵ - x⁴ + 2x

a)

9

b)

5

c)

4

d)

2

2.

What is the degree of the polynomial?
9x⁵ + 2x⁴ - x³ + 9x² - 2

a)

9

b)

5

c)

2

d)

4

3.

What is the leading coefficient?

$3x+5x^2-9$

a)

3

b)

5

c)

-9

4.

Fill in the blank. The __________ is the highest exponent of a variable when a polynomial is in standard form.

a)

coefficient

b)

degree

c)

monomial

d)

term

5.

Fill in the blank. The ________ is the number in front of the highest exponent of a variable in standard form.

a)

degree

b)

variable

c)

exponent

d)

leading coefficient

6.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

7.

What is the leading coefficient of the polynomial?
9x⁵ + 2x⁴ - x³ + 9x² - 2

a)

5

b)

9

c)

2

d)

4

8.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

9.

Classify by number of terms:
9x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

10.

Classify by number of terms:
7x³ – 8x² -4x+ 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

11.

Match the following

a)

3x²

1.

Monomial

b)

x + 7

2.

Binomial

c)

x² - 6x + 4

3.

Trinomial

d)

4x⁵ - 8x⁴ + 9x - 1

4.

Polynomial

12.

What kind of leading coefficient does the function have?
f(x) = 4x⁴ + 6x³ - x

a)

positive

b)

negative

13.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

14.

Which of these is in Standard Form?

a)

$4x^2+12x-13x^3$

b)

$5-3x$

c)

$2x^4-12x^2+5x-9$

d)

$5x^5+4x^{\text{4}}+12x^3-23x+15$

15.

Reorder the following polynomial into Standard Form

$-x^2-15x+7x^4-6+3x^3$

a)

$+7x^4$

b)

$-6$

c)

$-x^2$

d)

$+3x^3$

e)

$-15x$

1)

2)

3)

4)

5)

16.

The largest exponent which is shown in a polynomial.

a)

exponent

b)

cubic

c)

degree

d)

linear

17.

What is the degree?
- 3x³ - x² - 10x + 12

a)

1

b)

2

c)

3

d)

4

18.

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

19.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

20.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

21.

Simplify: 15x + 19 + 2x - 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

22.

Simplify:

a)

9n³ + 4n

b)

7n³+ 6

c)

-3n³+ 2

d)

7n⁶ + 6

23.

Add the polynomial (-3x + 4) + (8x - 5)

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

24.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

25.

Combine like terms to simplify:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

26.

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

27.

a)

4g²-2g

b)

4g²+4g-6

c)

6g²+2g+6

d)

4g²+2g

28.

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

29.

Add or Subtract to Simplify:
$\left(4x^2+x\right)-\left(x^2+2x\right)$

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

2025 Polynomials Quiz Review

Total questions: 29

Worksheet time: 3hrs 32mins

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