Dividing Polynomials with Long Division and Synthetic Division

​Dividing Polynomials
Long Division &
Synthetic Division

SY25-26

Math Response

1.) Simplify!

Type answer here

Correct Answer: 4x-7+\frac{3}{x}

Deg^°

Rad

Math Response

2.) Simplify!

Type answer here

Correct Answer: -8x^3-6x

Deg^°

Rad

Math Response

3.) Simplify!

Type answer here

Correct Answer: 2my^2+2y+\frac{1}{2m}

Deg^°

Rad

Labeling

Label the long division problem to the right with the correct vocabulary term.

Drag labels to their correct position on the image

Dividend

Quotient

Remainder

Divisor

Math Response

4.) Use long division to divide the polynomials.

Type answer here

Correct Answer: 2x+1

Deg^°

Rad

Math Response

5.) Use long division to divide the polynomials.

Type answer here

Correct Answer: x^2-2+\frac{6}{x-1}

Deg^°

Rad

Math Response

6.) Use synthetic division to divide the polynomials.

Type answer here

Correct Answer: x^2+x+4

Deg^°

Rad

Math Response

7.) Use synthetic division to divide the polynomials.

$$\frac{x^3-12x^2+32x-15}{x-3}$$

Type answer here

Correct Answer: x^2-9x+5

Deg^°

Rad

Multiple Choice

8.) A completed synthetic division is shown, what was the dividend?

• $$x+3$$

• $$x^2-x+6$$

• $$x^3-2x^2-9x+18$$

• $$x^2+2x+18$$

Multiple Choice

9.) A completed synthetic division is shown, what was the divisor?

• $$x+3$$

• $$x^2-x+6$$

• $$x^3-2x^2-9x+18$$

• $$x^2+2x+18$$

Multiple Choice

10.) A completed synthetic division is shown, what was the quotient?

• $$x+3$$

• $$x^2-x+6$$

• $$x^3-2x^2-9x+18$$

• $$x^2+2x+18$$