f(x) = x^3– 6x^2 + 11x – 6, g(x) = x^2 + x +1

Question

Apply division algorithm to find the quotient q(x) and remainder r(x) on dividing f(x) by g(x).

f(x) = x3– 6x2 + 11x – 6, g(x) = x2 + x +1

Answer 1

Given,

f(x) = x3– 6x2 +11x – 6, g(x) = x2 +x + 1

Thus, q(x) = x – 7 and r(x) = 17x -1.