Free Printable Dividing Polynomials

1.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect!

2.

$\left(4x^4-8x^3-3x^2+7x-2\right)\div\left(2x-1\right)$

Use long division to evaluate

a)

$2x^3-3x^2-3x+2$

b)

$2x^3+3x^2+3x+2$

c)

$2x^3-3x^2-3x-2$

d)

$2x^3+2$

3.

Simplify. Assume no denominator is equal to 0.

$\frac{x^3y^2}{xy^{-6}}$

**Remember: When dividing monomials, subtract exponents of like variables.**

a)

$x^2y^8$

b)

$\frac{x^3}{y^3}$

c)

$\frac{x^3}{y^{12}}$

4.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

5.

Synthetic Division only uses the ____________ of a polynomial to divide.

a)

Terms

b)

Numbers (coefficients)

c)

Variables

d)

Numbers and letters

6.

Simplify $\frac{45x^{15}}{9x^{10}}$

a)

$5x^{1.5}$

b)

$36x^5$

c)

$5x^5$

d)

$36x^{1.5}$

7.

a)

2x - 5

b)

x - 4

c)

x + 4

d)

2x + 4

8.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

9.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

10.

Is (x-4) a factor of (x³ +x² -16x-16)?

a)

YES

b)

NO

11.

a)

1/m²

b)

m²

c)

m⁸

d)

1/m⁸

12.

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

a)

Cam wrote the remainder incorrectly.

b)

Cam did not use a zero place holder for the x³ term.

c)

Cam added instead of subtracting the rows.

d)

Cam should have used -2 as his division since the factor was x-2.

13.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

14.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

15.

Simplify. Assume no denominator is equal to 0.

$\frac{-9f^{-1}g^8h^{-3}}{6g^2h^9}$

a)

$\frac{-3g^6}{2fh^{12}}$

b)

$-3fg^{10}h^6$

c)

$\frac{-54fg^{16}}{h^{27}}$

16.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

17.

What is the proper way to write the answer for the following problem?

a)

2x³-x²-25x+12

b)

2x⁴-x³-25x²-12x+0

c)

2x³-x²-25x-12

d)

2x⁴-x³-25x²-12x-0

18.

Simplify. Assume no denominator is equal to 0.

$\frac{24mn^{-9}}{12mn^{-11}}$

**Remember: Divide/reduce coefficients, subtract exponents, and then move negative exponents to the opposite spot.**

a)

$\frac{12m^2}{n^{20}}$

b)

$2n^2$

c)

$2mn^2$

19.

a)

x - 7

b)

x²- 7

c)

x + 7

d)

x²+ 3x - 54

20.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

21.

Simplify $\frac{-24y^8}{4y^2}$

a)

$6y^6$

b)

$-6x^6$

c)

$-6y^4$

d)

$-6y^6$

22.

$\frac{2x^2+9x+4}{2x+1}$

a)

x+4

b)

x-4

c)

2x+1

d)

2x+4

Dividing Polynomials

Total questions: 22

Worksheet time: 1hrs 17mins

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