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factor f(x)=4x^(3)+19x^(2)-149x+36 into linear factors if f(x)=-9

  • algebra -

    after a few tries I found f(4) = 0
    so (x-4) is a factor
    by synthetic long division I got
    (x-4)(4x^2 + 35x - 9)
    = (x-4)(x+9)(4x - 1)

    What does the fact that
    f(x) = -9 have to do with it.?

    Did you mean to say: f(9) = 0 , that would have given me the clue that x+9 is a factor.

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