topic badge

3.02 Synthetic and long division

Interactive practice questions

Which of the following is the correct simplification of $\frac{z+10}{10}$z+1010?

$\frac{z}{10}+1$z10+1

A

$z+1$z+1

B

$z$z

C
Easy
< 1min

Simplify the following expression, for $x\ne0$x0:

$\frac{9x^3+5x^5}{x}$9x3+5x5x

Easy
< 1min

Simplify $\frac{18x^3-12x^2+24}{3}$18x312x2+243.

Easy
< 1min

Simplify the following expression, for $x\ne0$x0:

$\frac{48x^4+12x^3-30x^2-42x}{6x}$48x4+12x330x242x6x

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

III.A.APR.6

Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

What is Mathspace

About Mathspace