# How to divide polynomial by monomial

2
by donnabanaag

2014-12-01T19:16:05+08:00
Division of Polynomials by Monomial
Divide
1.) If you are dividing by a monomial, you can split the problem into pieces by putting each term in the numerator over the denominator.

2.) Simplify each term. Use the rules for exponents to simplify the variables in each term and reduce the fractions.

2014-12-01T19:22:14+08:00
Divide (4x4 + 6x- 10x2) ÷ (2x)
It might look more difficult than it actually is....
You see...all we need to do is to divide (2x) into each of the terms,
one at a time....
(4x4 + 6x- 10x2) ÷ (2x)
Step 1: divide 4xby 2x
4x÷ 2x = 2x3
Step 2: divide 6x3 by 2x
6x3 ÷ 2x = 3x2
Step 3: divide -10x2 by 2x
-10x2 ÷ 2x = -5x
After doing each of the separate divisions we put each of the individual answers together....make sure to connect them with the correct sign.
So...the final answer is:
2x3 + 3x2 - 5x