SOLUTION: Use the remainder theorem to find the remainder when f(x) is divided by g(x) F(x)=x^4+8x^3+12x^2; g(x)=x+1

Question 761868: Use the remainder theorem to find the remainder when f(x) is divided by g(x)
F(x)=x^4+8x^3+12x^2; g(x)=x+1
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
Given expression F(x)is
Remainder theorem - if when a function f(x) is divided by (x-a), the remainder is f(a) - that is, the remainder is the value of the function when you substitute x with a.
Here we are dividing by g(x) = x + 1. Comparing it with (x-a) form, a = -1.
So remainder = F(-1) =
(Putting x = -1 in the expression F(x))

Remainder when F(x) is divided by (x+1) is
:)

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