FACTORIZING 6

Factorize 3x² - 20x + 12.  

Solution

= 3x² - 20x + 12.   .

We want to get two values m and n such that

m x n=3x² x 12=36x²  and

m+n=-20x.

We split the middle term (-20x) to be (-2x - 18x); such that

(-2x) x (-18x)=36x² and (-2x) + (-18x)=(-20x).

= 3x² - 2x - 18x + 12.

= (3x² – 2x) – (18x + 12)

= x(3x – 2) – 6(3x - 2)

= (x - 6) (3x - 2)

Hence 3x² - 20x + 12= (x - 6) (3x - 2) answer.

TRY THIS…..

4x² - 11x + 6.