## Week 5-Factoring Polynomials

When factoring polynomials, we can use a system:

**C**ommon?

**D**ifference of squares (2 terms)

**P**attern ( x #) (3 terms)

**E**asy

**U**gly

or for an easy jingle, **C**an **D**ivers **P**ee **E**asily **U**nderwater.

using these steps we can factor each type of polynomial to its simplest form.

for example:

3y(y+2) – 9(y+2)

because this polynomial has a common factor, y+2, we can substitute it for an unknown variable such as “a”

3ya – 9a

doesn’t that look better?

now we can use the **D **to find the difference of squares because there’s 2 terms. If there are more than two terms you can skip the **D **and go right to **P**.

3a is common on both terms so we simplify polynomial to

3a(y-3)

now we substitute our y+2 back for “a”.

3(y+2)(y-3)

and you’re done! this polynomial cannot be simplified farther.

For a polynomial with 3 terms, you will not use the **D**, but skip right to **P** depending on whether you have or will decide if you use the **E **or the** U**.