SOLUTION: Help!!! Find the zeros of the polynomial function P(x)=x^3-x^2-2x+2 and the multiplicity of each.

Question 89974: Help!!!
Find the zeros of the polynomial function P(x)=x^3-x^2-2x+2 and the multiplicity of each.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the zeros of the polynomial function P(x)=x^3-x^2-2x+2 and the multiplicity of each.
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The coefficients add to zero so x=1 is a zero of P(x)
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Then use synthetic division to help find the other zeroes:
1)....1....-1....-2....2
........1.....0....-2..|..0
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Remainder: 0
Quotient: x^2-2
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Find the zeroes of the Quotient factor:
x^2-2=0
x=sqrt2 or x=-sqrt2
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Cheers,
stan H.
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