# How do you factor #8x^2-30x+25#?

##### 1 Answer

Aug 8, 2015

Factor:

Ans: (4x - 5)(2x - 5)

#### Explanation:

Use the new AC Method. Factored form: y = 8(x + p)(x + q)

Converted trinomial:

Find 2 numbers p' and q' knowing sum (b = -30) and product (ac = 200). p' and q' have same sign (Rule of signs)

Factor pairs of 200 --> (5, 10)(10,20). This sum is 30 = -b.

Change this sum to the opposite. Then p' = -10 and q' = -20

Therefor,