show that -1,1and 3 are zeroes of polynomial x3-3x2-x+3
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Step-by-step explanation:
let p(X)=x^3-3x^2-x+3
if -1,1,3 are zeroes of polynomial,
then p(-1)=p(1)=p(3)=0
p(-1)=(-1)^3-3(-1)^2-(-1)+3
=-1-3+1+3=0
p(1)=(1)^3-3(1)^2-(1)+3
=1-3-1+3=0
p(3)=(3)^3-3(3)^2-(3)+3
=27-27-3+3=0
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