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

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 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(60778)   (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. --------- The coefficients add to zero so x=1 is a zero of P(x) -------------- Then use synthetic division to help find the other zeroes: 1)....1....-1....-2....2 ........1.....0....-2..|..0 ============ Remainder: 0 Quotient: x^2-2 --------------- Find the zeroes of the Quotient factor: x^2-2=0 x=sqrt2 or x=-sqrt2 ================== Cheers, stan H.