Question

in the polynomial g(x)=x-2, q(x)=x²-x+1 and r(x)=4.find p(x)

Answer 1

p(x) = q(x) × g(x) + r(x)

=> p(x) = (x^2 - x + 1)(x-2) + 4

=> p(x) = ( x^3 - x^2 + x - 2x^2 +2x - 2) + 4

=> p(x) = ( x^3 - 3x^2 + 3x - 2 +4)

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