Express f(x) in the form f(x)= (x-k)q(x) +r for the given value of k.

Question

Express f(x) in the form f(x)= (x-k)q(x) +r for the given value of k.

F(x)= 5x^4 - 2x^3 - 15x^2 - x

K=4?

Answer 1

You can do this by long division or by synthetic division; in either event the answers are

q(x) = 5x³ + 18x² + 57x + 227 and r = 908