f(x) = 15x^3 – 20x^2 + 13x – 12, g(x) = x^2 – 2x + 2

Question

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

f(x) = 15x3 – 20x2 + 13x – 12, g(x) = x2 – 2x + 2

Answer 1

Given,

f(x) = 15x3 – 20x2 + 13x – 12 and g(x) = x2 – 2x + 2

Thus, q(x) = 15x + 10 and r(x) = 3x – 32.