Example x squared+ 2x-24
solution 1. squared+2x-24
2 ( ) ( )
3 ( ) ( )
4(x ) (x )
Answer is (x - 3)(x - 7)
can u show me the steps
The first term is, x2 its coefficient is 1 .The middle term is, -10x its coefficient is -10 .The last term, "the constant", is +21
Multiply the coefficient of the first term by the constant 1 x 21 = 21
Find two factors of 21 whose sum equals the coefficient of the middle term, which is -10 .
-3 -7 = -10
Rewrite the equation
x2 - 3x - 7x + 21
Add up the first 2 terms, pulling out like factors :x (x-3)
Add up the last 2 terms, pulling out common factors :-7 (x-3)
Add up the four terms (x-7) (x-3)
Which is the desired factorization
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