Question

On dividing x3-3x2+x+2 by a polynomial g(x) the quotient and remainder were x-2 and -2x+4.Find g(x)

Answer 1

Step-by-step explanation:

Dividend=x^3-3x^2+x+2

divisor=g(x)

quotient=(x-4)

remainder=6

x^3-3x^2+x+2=g(x)(x-4)(6)

x^3-3x^2+x+2-6=g(x)(x-4)

x^3-3x^2+x-4=g(x)(x-4)

g( x)=x^2+x+5