SOLUTION: How to factor 14k^2-25k-84 completely

Question 573951: How to factor 14k^2-25k-84 completely

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Unwrap the FOIL.

There are only a couple of ways to make

out of two factors each of which has an

; either

and

.

So start with

and mess about with various integer factors of 84, 84 and 1, 42 and 2, 21 and 3, 14 and 6, or 7 and 12. Nothing seems to work.

So try

with all of those factors of 84. Hmm...2 times 12 is 24 and -7 times 7 is -49 and 25 - 49 is -25. That looks promising. Let me know what you figured out.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

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