Free Printable Synthetic Division

1.

Use any style of division to simplify: $\frac{x^5-3x^4+2x^3-x^2+9x+3}{x-2}$

a)

$x^4-x^3-x+7+\frac{17}{x-2}$

b)

$x^4-x^3-x^2+7x+17$

c)

$x^4-5x^3+12x^2-25x+59+\frac{121}{x-2}$

d)

$x^4+x^3+x-7-\frac{17}{x-2}$

2.

Use any style of division to simplify: $\frac{x^4+x^3+2x^2+3x+9}{x+1}$

a)

$x^3+2x+1+\frac{8}{x+1}$

b)

$x^3+2x^2+4x+7+\frac{16}{x+1}$

c)

$x^3+2x^2+x+8$

d)

$x^3-2x-1-\frac{8}{x+1}$

3.

Use any style of division to simplify: $\frac{x^5-x^3+2x+4}{x+2}$

a)

$x^4-2x^3+3x^2-6x+14-\frac{24}{x+2}$

b)

$x^4+2x^3+3x^2+6x+14+\frac{32}{x+2}$

c)

$x^4-2x^3-3x^2-6x-14-\frac{32}{x+2}$

d)

$x^4+2x^3-3x^2+6x-14+\frac{24}{x+2}$

4.

Use any style of division to simplify: $\frac{x^6-1}{x+1}$

a)

$x^5-x^4+x^3-x^2+x-1$

b)

$x^5+x^4+x^3+x^2+x+1$

c)

$x^5+x^4+x^3-x^2-x-1$

d)

$x^5-x^4-x^3+x^2+x+1$

5.

Use any style of division to simplify: $\frac{x^3+3x^2-9x+10}{x+4}$

a)

$x^2-x-5+\frac{30}{x+4}$

b)

$x^2+7x+19+\frac{86}{x+4}$

c)

$x^2-7x-19-\frac{86}{x+4}$

d)

$x^2+x+5-\frac{30}{x+4}$

6.

True or False:

When you do a polynomial division, and the remainder is 0, that means that the denominator is a factor of the numerator.

a)

TRUE

b)

FALSE

Synthetic Division

Total questions: 6

Worksheet time: 3mins

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