HELP with calculus problem!?

Question

A factor of x^3 – 64 is:

a) x – 2
b) x – 4
c) x – 8
d) x + 4

Answer 1

By synthetic division x - 4 is a factor of
1x³ + 0x² + 0x - 64 as shown :-

-----4|1----0---0---- -64
-------------4---16-----64
--------1---4---16------0

ANSWER b)

Answer 2

I'm not going to give you the answer but here is a hint. If x - a is a factor of an expression then when x = a is put into the expression it gives zero. Take it from there.

Also why do you call it a calculus question? It is just a basic algebra question.

Answer 3

for a factor:

x^3-64 = 0

x^3 = 64

x = 4

so (x-4) is a factor