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Show that (x-3) is a factor of the polyn...

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

Text Solution

Verified by Experts

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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