Example x squared+ 2x-24

solution 1. squared+2x-24

2 ( ) ( )

3 ( ) ( )

4(x ) (x )

(x+6)(x-4)

x^2-10x+21

x(x-7) -3(x-7)

Answer is (x - 3)(x - 7)

can u show me the steps

The first term is, x^{2} 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

x^{2} - 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

24x^5+36x^3

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