1.

Find the remainder when the polynomial `p(x)=x^(4)-3x^(2)+5x+1` is divided by (x-2).

Answer» Let x-2=0
`implies x=2`
`therefore " " p(x)=x^(4)-3x^(2)+4x+50`
`implies " " p(2)=2^(4)-3(2)^(2)+5(2)+1`
=16-12+10+1=15
`therefore ` Remainder =15


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