Question

What is the factored form of 24x^2-120x+150

Answer 1

Find the gcf which is 6

6 ( 24x^2 / 6 + (-120x) / 8 + 150 / 6 ) divide by the gcf
6 (4x^2 - 20x + 25)

use the formula a^2 - 2ab +b^2
a= 2x b=5
6((2x)^2- 2(2x)(5) + 5^2)

use sq's of difference
(a-b)^2 = a^2 - 2ab + b^2
6 (2x - 5)^2