SOLUTION: Solve for a factor of 3x^3 + 7x^2 - x + 15 ... is (x-3) a factor of this?

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Question 194077This question is from textbook Saxon Algebra 2
: Solve for a factor of 3x^3 + 7x^2 - x + 15
... is (x-3) a factor of this? This question is from textbook Saxon Algebra 2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for a factor of 3x^3 + 7x^2 - x + 15
... is (x-3) a factor of this?
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Ans: It is if f(3) = 0
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Use synthetic division to find f(3)
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3)....3....7....-1....15
.......3....16....47...|..not zero
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Since f(3) is not zero, (x-3) is not a factor of the cubic.
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Cheers,
Stan H.