Question

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

Answer 1

here subtract the polynomial with remainder and divide it with quotient to obtain g(x)

Answer 2

Answer:

Step-by-step explanation:

Let p(x) be x^3- 3x^2 + x +2

Using division algorithm

p(x)=g(x)×quotient + remainder

g(x)=p(x) - remainder/ quotient

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

=x^3 -3x^2 - x -2/x-2

=x^2 -x + 1