5x²+7x-6
grouping method:
If 5x²=a, 7x=b and -6=c
1. Find the grouping num.of AC
a= 5x² c= -6 ac= -30
2. Find the grouping number whose sum is b
Factors of -30 SUM
30,-1 29
15, -2 13
6, -5 1
10, -3 = 7
3. Use these factors tpwrite bx as the sum of two terms
7x= 10x-3x
4.Factor by grouping
5x²+7x-6
5x²+10x-3x-6
(5x²+10) (-3-6)
5. Get its GCF.
(5x²+10)= 5x
(-3-6)= -3
5x(x+2) -3(x+2)
6.Same terms
x+2
(x+2) (5x-3)