SOLUTION: I need the steps to this please Factor x^2-10x+24

Question 153323: I need the steps to this please
Factor x^2-10x+24
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
x^2-10x+24

Since the original polynomials signs in order are - and +, then you should set up factoring like this:

(x-?)(x-!)--------------because -? and -! multiplied by each other would cancel out the negatives (and get 24), but when added together, the sum would still be negative (-10).

Then come up with the factors of 24 that add up to 10. Those would be 6 and 4. Plug those in for ? and !:

(x-6)(x-4)

That's all there is to it!
Answer: (x-6)(x-4)
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