Question 83981: Rewrite the middle term as the sum of two terms and then factor by grouping.
x^2 – 2x – 63
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Rewrite the middle term as the sum of two terms and then factor by grouping.
x^2 – 2x – 63
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Think of two numbers whose product is -63 and whose sum is -2.
The numbers are -9 and +7
Rewrite:
x^2-9x+7x-63
Factor the 1st two terms and the last two terms separately:
= x(x-9)+7(x-9)
Factor out the common factor:
=(x-9)(x+7)
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Cheers,
Stan H.
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