SOLUTION: If −1 is one of the roots of H(x) = x3 − 7x2 − x + 7, use synthetic division to find the resulting quadratic expression.

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Question 1064179: If −1 is one of the roots of H(x) = x3 − 7x2 − x + 7, use synthetic division to find the resulting quadratic expression.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
-1   |   1   -7   -1    7
     |       -1    8   -7
     |_________________________
         1   -8   7     0


H%28x%29=%28x%2B1%29%28x%5E2-8x%2B7%29

Notice the coefficients in the quadratic factor in decreasing degree are 1, -8, 7.