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Find the remainder when the polynomial p...

Find the remainder when the polynomial `p(x)=x^(3)-3x^(2)+4x+50` is divided by (x+3).

A

`-13`

B

`-14`

C

`-15`

D

`-16`

Text Solution

Verified by Experts

The correct Answer is:
D
Let x+3=0
`implies x=-3`
`therefore " " p(x)=x^(3)-3x^(2)+4x+50`
`implies " " p(-3)=(-3)^(3)-3(-3)^(2)+4(-3)+50`
`" " =-27-27-12+50=-16`
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