Question

on dividing x³-3x²+x+2 by a polynomial g(x),quotient and remainder where x - 2 and -2 X + 4 respectively find g(x)

Answer 1

letp(x)=x3-3x2+x+2 ; q(x)=x-2; r(x)=-2x+4; g(x)=? we know that p(x)=g(x) q(x)+r(x) x3-3x2+x+2=g(x) x-2 -2x+4 x3-3x2+x+2+2x-4=g(x)x-2 x3- 3x2+3x-2÷x-2=g(x) g(x)=x2-x+1