# 6.1 Factoring Polynomials

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6.1 Factoring Polynomials
factor out a common factor

Factoring (Divide): Find a # and/or variable that is divisible by all #’s in the expression. To divide the variable subtract the exponents

Divisible by… 2 if last digit is an even number.
3 if the sum of the digits is divisible by 3 4 if the number formed by the last two digits is divisible by 4 5 if the number ends in 0 or 5 7 Nike Rule: “just do it” (long division) 9 if the sum of the digits  by 9 10 if the last digit is a zero.

“Factoring Polynomials” the REVERSE of the Distributive Property
5(x + 3) = 5x + 15 “Factoring Polynomials” the REVERSE of the Distributive Property

Ex 2 Factor: 12x + 4 3x + 1 Check your answer!!!!!

Ex 3 Factor: 18x3 + 12x 3x2 + 2 Check your answer!!!!!

Ex 4 Factor: x2 + 7x x(x + 7)

Ex 5 Factor: a2b + 2ab ab(a + 2)

Ex 6 Factor: 5x5y4 + 20xy3 5 x y3 ( ) x4y + 4 5xy3(x4y + 4)

Ex 7 Factor 16y5 + 20y3 4y3(4y2 + 5)

Ex 8 Factor: x3(9 + 25x4)

Ex 9 Factor: 3m3n(4m2n + 3m + 2n)

Ex 10 Factor: 16x(x5 - 2x4 - 3)

Ex 11 Factor: x2(6x2 - 10x + 3)

Ex 12 Factor: 2a2(2a2b4 – ab2 + 3)

Homework Page 264 ( 10-40) even