factor: x squared-10+21

Algebra
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Example x squared+ 2x-24

solution 1. squared+2x-24

2 (      )    (        )

3 (            )  (              )

4(x           ) (x             )

(x+6)(x-4)

May 11th, 2015

x^2-10x+21

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

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

May 11th, 2015

can u show me the steps

May 11th, 2015

The first term is,  x2  its coefficient is  .
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

May 11th, 2015

24x^5+36x^3

May 11th, 2015

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May 11th, 2015
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May 11th, 2015
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