Question

on dividing x3-3x2+x+2 by a polynomial g(x) the quotient and remainder were x-2 and-2x+4 resptively. find g(x)​

Answer 1

Answer:

Step-by-step explanation:

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

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

x^3-3x^2-x+6=g(x)(x-2)

x^2-x-3=g(x)

Therefore,g(x)=x^2-x-3