SOLUTION: What are the factors of the polynomial: f(x)= x^3-10x^2+29x-20 ?

Question 406195: What are the factors of the polynomial:
f(x)= x^3-10x^2+29x-20 ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What are the factors of the polynomial:
f(x)= x^3-10x^2+29x-20
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The coefficients add up to zero so x=1 is a root,
so (x-1) is one of the factors.
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Use synthetic division to get the quadratic factor:
1)....1....-10....29....-20
.......1.....-9....20...|..0

Quadratic factor: x^2-9x+20
Solve x^2-9x+20 = 0
(x-5)(x-4) = 0
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Therefore: f(x) = (x-1)(x-4)(x-5)
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Cheers,
Stan H.
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