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.
5(x + 3) = 5x + 15
“Factoring
Polynomials”
the REVERSE of the Distributive
Property
Ex 1:Factor: 10x + 15
5
5  2x + 3
5

Check your answer!!!!!
Ex 2 Factor: 12x + 4
4
4
4  3x + 1

Check your answer!!!!!
Ex 3 Factor:
3
18x
+ 12x
6x
6 x  3x2 + 2
6x

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 xy
3
5 xy
5 x y3 ( x4y + 4
5xy3(x4y + 4)
3
)
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 + 6)
Homework
Page 264 ( 10-40) even