SOLUTION: Determine if f(x) is a factor of the polynomial using the factor theorem. x=3 for f(x) = x^3-4x-1 How do I solve this? If you could please explain :) Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine if f(x) is a factor of the polynomial using the factor theorem. x=3 for f(x) = x^3-4x-1 How do I solve this? If you could please explain :) Thank you      Log On


   



Question 189138: Determine if f(x) is a factor of the polynomial using the factor theorem.
x=3 for f(x) = x^3-4x-1
How do I solve this? If you could please explain :)
Thank you

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine if f(x) is a factor of the polynomial using the factor theorem.
x=3 for f(x) = x^3-4x-1
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The Factor Theorem says "If x-3 is a factor of f(x) if f(3)=0
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So see if f(3) is zero.
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f(3) = 3^3-4*3-1 = 27-12-1 = 14
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F(3) is not zero so (x-3) is not a factor of f(x).
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Cheers,
Stan H.