SOLUTION: Please help me to find the remainder theorem f(2) of the equation f(x)=x^4+4x^3-6x^2+x+12

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Question 634472: Please help me to find the remainder theorem f(2) of the equation
f(x)=x^4+4x^3-6x^2+x+12
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The Remainder Theorem tells us that f(2) will be the remainder you get when dividing f(x) by x-2. And the fastest, easiest way to divide by x-2 is to use synthetic division (which I hope you've learned):
2 |  1  4  -6   1  12
==      2  12  12  26
    =================
     1  6   6  13  38

The remainder is in the lower right hand corner, 38. So f(2) = 38.