Question

on
dividing p(x) by a polynomial
x-1-x^2 the quotient and
remainder were (x-2) and 3 respectively. Find g(x).
​

Answer 1

Answer:

-x^3+3x^2-3x+5

Step-by-step explanation:

p(x)=x-1-x^2

p(x)=(x-2)(x-1-x^2)+3.

{dividend=division ×quotient+remainder}

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

=3x^2-3x-x^3+5

=-x^3+3x^2-3x+5