When a polynomial P(x) is divided by (x-2) the quotient and remainder obtained are (x^2-x+1) and 4 respective. Find P

August 2023 1 3 Report

When a polynomial P(x) is divided by
(x-2) the quotient and remainder obtained are (x^2-x+1) and 4 respective. Find P (x).

Answer:

$ the dividend p(X) = 14x^3-5x^2+9x-1

Step-by-step explanation:

we know,p(x) = [g(x)×q(x)]+r(x)

p(×)=(2x-1)(7x^2+x+5)+4

p(x)=14x^2+2x^2+10x-7x^2-x-5+4

p(x)=14x^3-5x^2+9x-1