SOLUTION: Find the remainder when f(x) is divided by (x - k). f(x)= 4x^3-6x^2+3x+1 ; k= -2

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Question 1093216: Find the remainder when f(x) is divided by (x - k).
f(x)= 4x^3-6x^2+3x+1 ; k= -2
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
polynomial division or synthetic division
-2/4====-6====3===1
==4====-14===31==-61
The remainder is -61
multiply (x+2)(4x^2-14x+31) to get 4x^3-6x^2+3x+62, which is the above with a remainder of -61.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Find the remainder when f(x) is divided by (x - k).
f(x)= 4x^3-6x^2+3x+1 ; k= -2
Just simply use the remainder theorem, which states that f(- 2) will give you the remainder.

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matrix%281%2C3%2C+f%28-+2%29%2C+%22=%22%2C+4%28-+8%29+-+6%284%29+-+6+%2B+1%29