Question

Which of the following represents the factored form of f(x) = x3 − 121x?

Answer 1

Answer:

f(x) = x (x -11) (x +11).

Step-by-step explanation:

Given : f(x) = x³ − 121x

To find : factors.

Solution : We have given that  f(x) = x³ − 121x

Taking common we get,

x ( x² - 121 )

By $(a^{2} -b^{2}) =( a-b) (a+b)$.

Then

( x² - 11² ) = (x -11) (x +11).

Therefore,  f(x) = x (x -11) (x +11).

Answer 2

Hello here is a solution :
f(x) = x3 − 121x = x(x²-121) = x (x² -11²)
f(x) = x (x+11)(x-11)