SOLUTION: Use the factor theorem to decide whether the second polynomial is a factor of the first. x^3 + 4x^2 + x - 6; x - 1

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Question 135550This question is from textbook college algebra
: Use the factor theorem to decide whether the second polynomial is a factor of the first.
x^3 + 4x^2 + x - 6; x - 1
This question is from textbook college algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the factor theorem to decide whether the second polynomial is a factor of the first.
f(x) = x^3 + 4x^2 + x - 6; x - 1
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x-1 will be a factor of f(x) is f(1)=0
Using synthetic division you get:
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1)....1....4....1....-6
.......1....5....6..|..0
Remainder = 0, so f(1)=0, and x-1 is a factor of f(x)
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Cheers,
Stan H.