5.3 Division of Polynomials

Concepts 1, 2, 3

5.3 Division of Polynomials

5.3.1 Division by a MonomialExample:

3

330

Divide the polynomials.

On your own…

What if you are dividing by a polynomial?The last method we did won’t work.

There are three ways to do this:LONG DIVISIONSYNTHETIC DIVISIONFACTORING (we will cover next week)

5.3.2 Long DivisionNumber example

How do we divide 867 by four using long division?

Similar when using polynomials?

Divide the polynomial using long division.

CHECK:(divisor)(quotient)+(remainder) =

what was divided

Divide the polynomial using long division.

Divide the polynomial using long division.

Divide the polynomial using long division.

Divide the polynomial using long division.

Divide the polynomial using long division.

5.3.3 Synthetic DivisionIt is a shortcut way of doing long division.

Only works when divided by something in the form x – c

Set-up:

Degree is always one less than the original

Divide the polynomial using synthetic division.

Divide the polynomial using synthetic division.

Divide the polynomial using synthetic division.

Divide the polynomial using synthetic division.

HOMEWORK FOR 5.3

Pg. 338 – 340 #10, 24, 32, 37, 44, 57