p(x)=x^4-3x^2+4x+5,g(x) =x^2+1-x
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The polynomial p(x)=x 4 −3x 2 +4x+5 can be divided by g(x)=x 2 −x+1 as shown below:
Clearly, the quotient is x 2+x−3 and the remainder is 8.
Hence, Q=x 2 +x−3 and R=8.
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