when a polynomial p(x)=4x³-8x²+8x+1 is divided by the polynomial g(x) gives (2x-1) as quotient and (x+3) as reminder. Find g(x)
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Step-by-step explanation:
p(x)=g(x)×q(x)+r(x)
4x³-8x²+8x+1=g(x)(2x-1)+(x+3)
4x³-8x²+8x+1-x-3=g(x)(2x-1)
4x³-8x²+7x-2=g(x)(2x-1)
4x³-8x²+7x-2/2x-1=g(x)
g(x)=2x²-3x+2
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