Question

If the polynomial x3-3x²+x+2 is divided by g(x), then the remainder is (-2x+4) &
quotient is (x-2). Find g(x)​

Answer 1

Answer:

p(x)=g(x)q(x)+r(x)

x3-3x2+x+2=g(x)x-2+(-2x+4)

x3-3x2+x+2=g(x)x-2-2x-4

x3-3x2+x+2=g(x)-x-2

x3-3x3+x+2/-x-2=g(x)