Free Printable Polynomial Operations

1.

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

2.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

3.

$\left(x+3\right)\left(x^2+4x+7\right)$

a)

$x^3+7x^2+19x+21$

b)

$x^2+19x+7x+7$

c)

$x^3+x^2+19x+7$

4.

Expand and simplify $3\left(2a+5\right)+5\left(a-2\right)$

a)

$11a+5$

b)

$6a+15$

c)

$11a-5$

d)

$6a+15+5a-10$

5.

(2x³ - 3x² + 2x - 8) + (-6x³ + 5x² + 4x - 7)

a)

-4x³ + 2x² + 6x - 15

b)

-4x⁶ + 2x⁴ + 6x² - 15

c)

8x³ - 8x² - 2x - 1

d)

-4x³ + 2x² + 6x - 1

6.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect, and error occurs when subtracting -6x and 2x

and it is carried out in the process

c)

This is incorrect, and the error occurs on the 4th line!

d)

This is incorrect, and the error occurs on the 3rd line!

7.

Divide using synthetic division

2x³ - 5x² + 3x + 7 ÷ x - 2

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

8.

Divide using long division: $\frac{6x^2+7x-20}{2x+5}$

a)

$6x^2-8x$

b)

$6x-8$

c)

$3x-4$

d)

$3x^2-4x$

9.

a)

1

b)

2

c)

3

d)

4

10.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

$2x^2-x+1+\frac{9}{x-2}$

d)

$2x^2-9x-15-\frac{23}{x-2}$

11.

What is the value of k such that (x^3 - x^2 + kx - 30) divided by (x-5) has a remainder of zero?

a)

14

b)

-14

c)

6

d)

26

12.

Find the value of a + b+ c after the following operation has been performed

and is written in the form ax²+ bx+ c:

(4x²- 5x+ 3) - (-2x²- x+6)

a)

5

b)

-3

c)

-1

d)

3

Polynomial Operations

Total questions: 12

Worksheet time: 1hrs 19mins

Similar Resources on Wayground