Sec. 9-2:Multiplying & Factoring

To multiply a MONOMIAL with a polynomial, simply distribute the monomial through to EACH term of the polynomial.

i.e.2x(3x2 – 4x + 5)2x(3x2 – 4x + 5)6x3 - 8x2 + 10x

Do: 3y(2y4 – 3y3 + 7y2 – 5y + 4)

FACTORING a polynomial “undoes” multiplication.

GCF: Greatest Common Factor:A number &/or variables that go into

EACH term of a polynomial.i.e.Factor: 12x2y – 6xy2 + 10xyWhat goes into EVERY term? 2xy

2xy(6x – 3y + 5)You can check your answer by

multiplying.

Factor: 16b4 – 4b3 + 8b2

Now, check you answer by multiplying…

You should get back the original trinomial.

4b2(4b2 – b + 2)