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1. Divide the Polynomial P(x)=x4–3x2+4x+5 by the Polynomial g(x)=x2-x+1 andfind the quotient and the remainder.

Answer»

X²-x+1 ) x⁴-3x²+4x+5 (x²+x-3.............. x⁴+1x² -x³...............- -. +.............. x³-4x²+4x............. x³-1x²+ 1x.............. - + -.............. -3x²+3x+5.....................-3x²+3x-3.....................+ - +..................... 8Hence Remainder is 8Quotient is x² + x - 3



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