Question

​Use synthetic division to divide f(x) by x−c then write​ f(x) in the form f(x)=(x−c)q(x)+r.

f(x)=x^3-7x^2-2x+14; x-4

Answer 1

$\dfrac{x^3-7x^2-2x+14}{x-4}=x^2-3x-14-\dfrac{42}{x-4}$