Show that (x-3) is a factor of the polynomial `x^(3)+x^(2)-17x+15`. – InterviewSolution

InterviewSolution

1.	Show that (x-3) is a factor of the polynomial `x^(3)+x^(2)-17x+15`.
Answer» Let x-3=0 `implies x=3` Let `p(x)=x^(3)+x^(2)-17x+15` `implies p(3)=3^(3)+3^(2) -17(3)+15=27+9-51+15=0` `because` The remainder is zero when putting x=3. `therefore` x-3 is a factor of given polynomial.

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