Free Printable Polynomials Review

1.

Simplify 3a(5a² + 8a + 2)

a)

15a³ + 24a² + 6a

b)

10a³ + 24a + 6

c)

8a³ + 11a² + 6a

d)

15a² + 24a + 6

2.

Simplify.
(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

3.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

4.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

5.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

6.

Find the product.

(x - 2)²

a)

x²+ 2x + 2x + 4

b)

x²+ 2x + 2

c)

7x²+ x + 7

d)

x² - 4x + 4

7.

(5x-1)(x+1)

a)

5x²+ 4x - 1

b)

5x²+6x - 1

c)

5x²- 4x -1

d)

5x² + 4x + 1

8.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

9.

Find the product:
(x + 12)(x - 12)

a)

x² - 144

b)

x² + 144

c)

x² + 12x - 144

d)

x² - 12x + 144

10.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

11.

Select the expanded form of the expression:

(x - 12)(x - 4)

a)

(x + 48)

b)

(x - 16)

c)

(x + 16)

d)

(x²+ x - 16)

e)

(x² - 16x + 48)

12.

Select the expanded form of the expression:

(2x + 1)(2x + 1)

a)

(2x + 2)

b)

(4x + 2)

c)

(4x + 4)

d)

(x²+ 8x + 2)

e)

(4x² + 4x + 1)

13.

$\frac{6a^3b^2c^{4\ }-\ 8a^2b^2c}{2a^2bc}$

a)

$3abc\ -\ 4abc$

b)

$3abc^{3\ }-\ 4b$

c)

$3a^3b^2c^{4\ }-\ 4b$

d)

$3abc\ +4b$

14.

What type of polynomial is
4x³+ 2

a)

Monomial

b)

Binomial

c)

Trinomial

15.

What type of polynomial is
4x² - 21x + 5

a)

Monomial

b)

Binomial

c)

Trinomial

16.

Simplify:
(3x - 5) ( 4x² - 2x - 3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

17.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

18.

Classify the following polynomial

a)

quartic polynomial

b)

quadratic polynomial

c)

quartic trinomial

d)

quadratic trinomial

19.

Multiply:

5x(4x³ + 8)

a)

$9x^4+40x$

b)

$20x^4+40x$

c)

$20x^3+40x$

d)

$9x^3+13x$

20.

Divide (Remember the Quotient Rule):

$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$

a)

$6y^2\ +3y^2\ -4y^2$

b)

$15y^{4\ }+6y^2\ -\ 9$

c)

$6y^{4\ }+3y^2-4$

d)

$6y^{3\ }-3y^2\ +4y$

21.

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

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

22.

Classify by degree of polynomial: 7x³ – 8x² - 4x + 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

23.

Which polynomial is written in standard form?

a)

8x - 11x

b)

4x³ + 7x - 9

c)

12 + 4x

d)

12 + 13x + 7x² - 9x³

24.

The degree in a polynomial refers to the highest ______.

a)

Variable

b)

Coefficient

c)

Exponent

d)

Answer

25.

Standard form refers to polynomials with exponents in _________ order.

a)

Increasing

b)

alphabetical

c)

Decreasing

d)

any

26.

What is the degree of the polynomial? $y=-4x^5+3x^2-8x+1$

a)

8

b)

2

c)

5

d)

1

27.

What is the constant in the polynomial x²- 2x + 5?

a)

1

b)

2

c)

5

d)

-2

28.

Simplify

(x³-x²+4) - (3x³-2x²+3)

a)

-2x³-3x²+7

b)

-2x³+x²+1

c)

2x³-3x³-1

d)

4x³-3x²+7

29.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

30.

Factor Completely:
x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

31.

Classify by degree and number of terms: 4m² + 9

a)

quartic, binomial

b)

cubic, trinomial

c)

quadratic, binomial

d)

linear, trinomial

32.

Find the sum: (8u³ + 2u² + 7) + (3u³ – 7u² + 8u)

a)

11u³ – 7u² + 2u – 15

b)

15 – 7u + 2u² + 11u³

c)

11u³ – 5u² + 8u + 7

d)

5u³ + 2u² – 7u + 15

33.

Find the sum: (4 + 2n³) + (5n³ + 2)

a)

9n³ + 4n

b)

-3n³+ 2

c)

7n³+ 6

d)

7n⁶ + 6

34.

Find the difference: (4n - 3n³) - (3n³ +4n)

a)

0

b)

-3n⁶

c)

-3n³ + 8n

d)

-6n³

35.

Divide (-20p² - 16p) by -4p

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

36.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

37.

The perimeter of the
triangle is $10x+20$ . Find the length of the missing side.

a)

$6x+10$

b)

$15x+30$

c)

$5x+10$

d)

$5x-10$

38.

Find the area of a rectangle with length (x - 5) and width (3x + 1).

a)

3x²+16x-5

b)

3x²-14x+5

c)

3x²-14x-5

39.

What is the Area?

a)

$2x^2-3x-18$ sq, in.

b)

$2x^2+3x+18$ sq. in.

c)

$2x^2+9x-18$ sq. in.

d)

$2x^2-9x-18$ sq. in.

40.

Which is an example of a cubic monomial?

a)

$x^3+5$

b)

$x^2+3$

c)

$x^2+5x-6$

d)

$5x^3$

41.

What is the degree of this term?
$-7x^3y^2z^2$

a)

3

b)

2

c)

12

d)

7

42.

Terms in a polynomial are separated by what?

a)

Parenthesis

b)

Multiplication/
Division

c)

Constants

d)

Addition/
Subtractraction

43.

Factor
$x^2-13x+36$

a)

$(x+9)(x+4)$

b)

$(x-9)(x-4)$

c)

$(x+9)(x-4)$

d)

$(x-9)(x+4)$

44.

What is the area of the rectangle?

a)

$2n^2-10n-25$

b)

$n^2+25$

c)

$n^2-10n+25$

d)

$n^2-25$

45.

Classify the polynomial and give the degree:
5x³y²

a)

Monomial, 3

b)

Uninomial, 3

c)

Uninomial, 5

d)

Monomial, 5

46.

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

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

Polynomials Review

Total questions: 46

Worksheet time: 4hrs 34mins

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