SOLUTION: how do i find the rational zeros of P(x) = x3 − 8x2 + 17x − 10

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Question 572625: how do i find the rational zeros of P(x) = x3 − 8x2 + 17x − 10
Answer by lwsshak3(11628) About Me  (Show Source):
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how do i find the rational zeros of P(x) = x3 − 8x2 + 17x − 10
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Use Rational Roots Theorem to solve:
...0..|...1....-8....17....-10...
...1..|...1....-7....10......0(1 is a root)
P(x)=(x-1)(x^2-7x+10)
P(x)=(x-1)(x-5)(x-2)
Rational Roots are: 1, 2, and 5