SOLUTION: Factor the following into the product of two binomials by the “grouping” method: x3 – 7x2 + 9x - 63

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Question 105097: Factor the following into the product of two binomials by the “grouping” method:
x3 – 7x2 + 9x - 63

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x3+%96+7x2+%2B+9x+-+63 group 1st with 3rd term, and 2nd with 4th term
%28+x%5E3+%2B+9x%29+-+%287x%5E2+%2B+63%29
x%28x%5E2+%2B+9%29+-+7%28x%5E2+%2B+9%29
%28x%5E2+%2B+9%29%28+x+-+7%29 here, number 9 you can write as 3%5E2
%28x%5E2+%2B+3%5E2%29%28x+-+7%29 now factor x%5E2+%2B+3%5E2 as %28x-3%29%28x%2B3%29
%28x+-+3%29%28x+%2B+3%29%28x+-+7%29