# How to do middle term splitting in algebra?

2
by Kevin112233

2014-11-26T08:32:48+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Perhaps it is the quadratic expression factorization problem.

a x² + b x + c
Find factors of  product  a * c..    in such a way that their sum is - b

x² - 5 x  + 4
factors or  1 * 4 =  1, 2, 4.            choose  1 and 4
split the middle term as  - 4 x and  - x
X² - 4 x - x + 4
X (X - 4)  - 1 (X - 4)
(X-1) (X-4)
==========================
2 x² +  x - 10
factors of  2 * -10 are  1, 2, 3, 4, 5, 10, 20, -1, -2, -4, -5, -10, -20
If u add -4 and 5 you get +1.

2 x² - 4 x + 5 x - 10
2 x ( x -2)  + 5 ( x - 2)          =>    (2 x + 5 ) ( x - 2 )

2014-11-26T19:19:04+05:30
A x² + b x + c

Multiply a and c in such a way that we got the sum b .