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Question 756601: Use the rational zero theorem to list all possible rational zeros for the given function
f(x)=x^3-4x^2-19x-14
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Use the rational zero theorem to list all possible rational zeros for the given function
f(x)=x^3-4x^2-19x-14
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I graphed it and found a zero at x = -1.
Use synthetic division to find the others.
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-1)....1....-4....-19....-14
.......1....-5....14....|..0
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Factor the Quotient which is x^2-5x+14
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= (x-7)(x+2)
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Zeros are x = -1, -2, 7
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Cheers,
Stan H.
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