SOLUTION: Use the factor theorem to determine if (x+3) is a factor of f(x)= x64+3x^3-12x^2+100

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Question 1004084: Use the factor theorem to determine if (x+3) is a factor of
f(x)= x64+3x^3-12x^2+100
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the factor theorem to determine if (x+3) is a factor of
f(x)= x64+3x^3-12x^2+100
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Comment:: x+3 is a factor if f(-3) = 0
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Rearranging f(x)
f(x) = 3x^3-12x^2 + 64x + 100
f(-3) = 3(-3)^3 - 12(-3)^2 + 64(-3) + 100
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f(-3) = 3(-27) - 108 - 132 + 100
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f(-3) = -81 - 108 - 132 + 100
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f(-3) = -281
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Since f(-3) is not zero, x+3 is not a factor of f(x)
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Cheers,
Stan H.
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