# How do you factor: #y= x^2-5xs-24s^2 #?

##### 1 Answer

Mar 22, 2016

y = (x + 3x)(x - 8s)

#### Explanation:

Consider s as a constant.

Find 2 terms, knowing sum (-5s) and product (-24s^2).

These 2 terms have opposite signs, because ac < 0.

Factor pairs of (-24s^2) -->...(3s, -8s). This sum is -5s = b. Then the 2 numbers are; 3s and -8s.

Factored form: y = (x + 3s)(x - 8s)