Question

Which of the following represents the factored form of f(x) = x3 − 64x?

f(x) = x(x + 8)(x − 8)
f(x) = (x − 8)(x + 8)
f(x) = x(x − 8)2
f(x) = x(x2 − 8)

Answer 1

   
$f(x) = x^3-64x = x(x^2-64)=x(x^2-8^2)= \boxed{x(x+8)(x-8)}$