SOLUTION: What is the remainder when the polynomial g(x) = x^3-14x^2+18x+72 is divided by x-1? I got (77)/(x-1). Is that correct? If not, can you tell me what I did wrong? Thank you!

Question 1173720: What is the remainder when the polynomial
g(x) = x^3-14x^2+18x+72
is divided by x-1?
I got (77)/(x-1). Is that correct? If not, can you tell me what I did wrong? Thank you!
Found 2 solutions by greenestamps, ewatrrr:
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!

The remainder when a polynomial p(x) is divided by the linear polynomial x-a is the polynomial evaluated at a, p(a).

In this example, p(1) = 1 -14 +18 +72 = 77.

So "77/(x-1)" COULD be considered the remainder; but in most contexts the remainder would be just "77".

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
g(x) = x^3-14x^2+18x+72 is divided by x-1?
What is the remainder
(77)/(x-1) Yes, Good Work.
Wish You the Best in your Studies.
1 | 1 -14 18 72
1 -13 5
1 -13 5 77

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