## Greatest Commen  Factor

Find the GCF
8x2 – 2x

1. Find the largest number that will divide into all the coefficients evenly.
Coefficients – 8, 2
The largest number that will divide into both of them is 2.

2. Find the largest variable that will into all the coefficients evenly.
*choose the variable with the smallest exponent*
The largest variable that will go into both of them is x.

3. Put both of them together.
GCF = 2x ## Factoring

·         Factoring is the opposite of
expanding and simplify. It means
to write as a product.
Expanding
(x + 2) (x – 2) à x2 – 4
3 x 2 àààà 6
Factoring
X2 – 4 à(x + 2) (x – 2)
6 ààà3 x 2

6y3 – 24y2
The easiest way to factor is to find the GCF.
GCF : 6y2

1.      Find the GCF .
2.      Wright down the GCF and open the Brackets.
3.      Divide the polynomial by GCF and check the brackets.
4.      Check by expanding.
6y3 – 24y2
1.      GCF : 6y2
2.      6y2(
3.      6y2(y – 4)
4.      6y2(y – 4)
6y3 – 24y2

## Product & Sum Find two numbers that:
Add to give you 8:    2   +    6     = 8
Multiply to give you 12: 2 x6  = 12

## Factoring Trinomials Factor 6x2 + 3x + 9                                              6x2 + 3x + 9
3(2x2 + 8x +12)
GCF: 3
Factor     x2 +8x +12
1(x2 +8x +12)
GCF: 1                                                 We cannot factor this trinomial
by simply finding the GCF.
This is another way of factor
x2 +8x +12 – product                    The next step is to
Find 2 numbers that have                place those numbers in
a sum = 8                                       brackets.
a product = 12                                (x + 2)(x + 6)
The number are                               x2 + 6x + 2x + 12
2 & 6                                             x2 + 8x + 12