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    how do I use the factor theorem to show that (x+10) is a factor of f(x)=2x^3=x^2-166x+240 ?
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    so what do you know about the factor theorem?
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    Set x+10 = 0 so x = -10
    Then sub -10 into f(x) so you can find f(-10), if the answer is zero it shows that x + 10 is a factor as there are no remainders
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    (Original post by hpblcparaboloid)
    so what do you know about the factor theorem?
    nothing. literally nothing...
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    (Original post by _princessxox)
    Set x+10 = 0 so x = -10
    Then sub -10 into f(x) so you can find f(-10), if the answer is zero it shows that x + 10 is a factor as there are no remainders
    Okay that makes sense. thank you x
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    The factor theorem means:

    f(x-a) is a factor of f(x) if and only if f(a) = 0

    In this instance to prove that (x+10) is a factor, consider that, and substitute -10 into that equation, and if your final answer turns out to be 0, (x+10) is a factor of the polynomial.
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    (Original post by useless_mind)
    nothing. literally nothing...
    Then it's probably a good idea to look it up before you ask for help with it.
 
 
 
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