SOLUTION: Given {{{f(x)=2x^3-5x^2-4x+7}}} a.Find the remainder when f(x) is divided by x+2 b.Find f(-2)

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Question 240747: Given f%28x%29=2x%5E3-5x%5E2-4x%2B7
a.Find the remainder when f(x) is divided by x+2
b.Find f(-2)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
a. We'll use Synthetic division. Since Synthetic Division is for dividing by an expression of the form (x-a), we will think of (x+2) as (x-(-2)):
-2 |   2   -5   -4    7
----       -4   18  -28 
      ------------------
       2   -9   14  -21

So the remainder is -21.

b. By the Remainder Theorem, this is the same as part (a): -21.