Question

Simplifique f(x)-f(p)/x-p (x ≠ p) a) f (x)=x^3 e p=2

Answer 1

$\Large\boxed{\begin{array}{l}\sf f(x)=x^3~~p=2\\\sf f(p)=f(2)=2^3=8\\\sf\dfrac{x^3-8}{x-2}=\dfrac{\diagdown\!\!\!\!\!(x-\diagdown\!\!\!\!\!2)(x^2+2x+4)}{\diagdown\!\!\!\!\!(x-\diagdown\!\!\!\!\!2)}=x^2+2x+4\end{array}}$