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Question 280959: i am supposed to use the factor theorem to determine if (x-3) is a factor of f(x)=x^4+12x^3+6x+27 how do i do this
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! i am supposed to use the factor theorem to determine if (x-3) is a factor of
f(x)=x^4+12x^3+6x+27 how do i do this
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The factor theorem says "If k is a root of f(x), then x-k is a factor".
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To see if x-3 is a factor test to see if 3 is a root.
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f(3) = 3^4+12*3^3 + 6*3 + 27
f(3) = 450
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Conclusion: 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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