SOLUTION: page 330 # 64 - factor each polynomial x^2

SOLUTION: page 330 # 64 - factor each polynomial x^2 - 5xs -24s^2

Question 104687: page 330 # 64 - factor each polynomial
x^2 - 5xs -24s^2
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
We want to find the values for a and b that make this true.

If we expand the equation in terms of a and b, we can find what relationships need to be met to solve the problem.
Note, the terms a and b will also include an s term for each.
Don't let that throw you off, it acts like a constant.

Let's compare terms in the original equation:
1. or

2.
Let's use equation 2 and look for factors of that when summed equal -5s (Equation 1).
Integer factors of are (1s,24s),(2s,12s),(3s,8s),(4s,6s).
(3s,8s) looks promising since their difference is 5s.
Now we need to get the signs right.
and

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