Respuesta :
Then all factors of the function f(x) = x³ – 2x² – 68x – 120 is (x + 2), (x + 6), and (x – 10).
What is a factorization?
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
If f(–2) = 0, that mean one root is –2.
The function f(x) = x³ – 2x² – 68x – 120
We have the one factor is (x + 2)
Then the function can be written as
f(x) = (x + 2)(x² – 4x – 60)
f(x) = (x + 2)(x² – 10x + 6x – 60)
f(x) = (x + 2)[(x(x – 10) + 6(x – 10)]
f(x) = (x + 2)(x – 10)(x + 6)
More about the factorization link is given below.
https://brainly.com/question/6810544
