Question

On dividing x^3-3x^2+x+2 by polynomial g(x), the quatient and the remainder were x-2 and -2x+4, respectively find g(x)

Answer 1

Answer:

•g(x)= x^2-x+1

Step-by-step explanation:

It is given that

p(x) = x^3-3x^2+x+2

g(x) = ?

q(x) = x-2

r(x) = -2x+4

~By Division Algorithm

g(x)×q(x)+r(x)=p(x)

g(x)×(x-2)+(-2x+4) = x^3-3x^2+x+2

g(x)×(x-2)= x^3-3x^2+x+2+2x-4

g(x)×(x-2)= x^3-3x^2+3x-2

____see the picture____

~The answer had been solved.....