SOLUTION: find the quotient and remainder when P(x) is divided by D(x). P(x)=x^2+2x+7; D(x)=x-1

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Question 982985: find the quotient and remainder when P(x) is divided by D(x).
P(x)=x^2+2x+7; D(x)=x-1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
highlight%28x%29%28x-1%29=x%5E2-x
Subtracting,
x%5E2%2B2x%2B7-x%5E2%2Bx=3x%2B7
.
.
highlight%283%29%28x-1%29=3x-3
Subtracting,
3x%2B7-3x%2B3=10
So,
%28x%5E2%2B2x%2B7%29%2F%28x-1%29=%28x%2B3%29%2B10%2F%28x-1%29