Free Printable Operations of Polynomials

Worksheets

Operations of Polynomials

Total questions: 25

Worksheet time: 4hrs 10mins

Name

Class

Date

Multiply:
(4x+1)(5x−2)

20x² + 3x − 2

20x² − 11x + 5

20x² − 18x + 2

20x² − 3x − 2

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

4b⁴ - 2b³ + 7

5b⁴ - 2b³ + 4

b⁴ - 2b³ + 7

5b⁴ - 2b³ + 7

8x⁴

8x⁸

6x⁴

6x⁸

Simplify:

-4x - 3

x² - 3

-4x² - 6x

-4x - 6

What do the letters of FOIL stand for when multiplying polynomials?

First, Outside, Inside, Later

First, Outside, Inside, Last

First, Ongoing, Inside, Later

First, Outside, Irrational, Last

Find the product:

(3x – 1)(x + 5)

3x² + 4x + 5

3x² + 4x - 5

3x² + 14x + 5

3x² + 14x - 5

Simplify the expression.
-3x²( 7x²- x + 4)

-21x⁴ + 3x³ -12x²

7x² - x + 4 (-3x²)

21x⁴+ 3x³+ 12x²

-12x²+ 3x³-21x⁴

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

4x- 12

4x- 1

8x- 2

4x²- 2x - 12

10.

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

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

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

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

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

11.

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

8a + 2b + 4

2a + 2b + 4

8ab

4ab + 4

12.

Simplify the rational function

1/(x + 5)

1/(x - 5)

(x - 5)(x + 5)

(x - 5)/[(x - 5)(x + 5)]

13.

Simplify the expression: 7v + 2 + 12 + 2v

23v

9 + 14v

9v + 14

14.

Multiply the polynomial
4(y-7) + 5y

9y - 7

9y - 28

20y - 28

9y + 28

15.

When the denominator of a rational expression is 0, the expression is ______.

DEFINED

NOT DEFINED

UNDEFINED

UNIDENTIFIED

16.

What value(s) make the expression undefined?

x = - 3 and x = 4

x = 3 and x = - 4

x = 3 only

x = - 4 only

17.

18.

Classify by degree & number of terms: $-9r^3+19r^2+16r$

Cubic Trinomial

Cubic Polynomial

Quadratic Trinomial

Quadratic Polynomial

19.

Factor
x²-16x + 48

(x - 12)(x - 4)

(x + 6)(x - 8)

(x + 12)(x - 4)

(x -16)(x - 3)

20.

Factor and cancel out in order to simplify.

9(x+10)

x+10

x+9

21.

Divide the polynomial by the monomial.

2x⁸-8x²-28x

2x⁸-2x²-7x

8x⁷-8x-28x

2x⁷-2x -7

22.

Combine Like Terms:
4y + 3x³ + 2y + 8x³ - 6y

11x³

11x³ + 12y

5x³

11x⁶

23.

Simplify (-8v⁴ + 4v³ + 3v) + (- 8v⁴+ 4v - 7)

-17v⁴ + 4v³ + 2v - 7

-16v⁴ + 4v³ + 10v - 7

-16v⁴ + 4v³ + 7v - 7

-16v⁴ + 4v³ + 2v - 7

24.

(3x + 4y - 3z) - (2x - 6y + 7z)

x + 10y - 10z

-x +10y - 10z

x -10y - 10z

-x -10y - 10z

25.

What are the x-intercepts of this function?

x= 2/3

x= 4, x = -2

x= -8, x = 1

x= -4, x = 2

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Operations of Polynomials

Total questions: 25

Worksheet time: 4hrs 10mins

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