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

f(x) = (x + 11)(x − 11)

f(x) = x(x + 11)(x − 11)

f(x) = x(x − 11)2

f(x) = x(x2 − 11)

Verified Answer :

ghanami

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

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).

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