What are the zeros of the polynomial function f(x) = x^3 – x^2 - 12x?

fagiolinow8xk

fagiolinow8xk

Answered question

2023-02-26

What are the zeros of the polynomial function f ( x ) = x 3 x 2 - 12 x ?

Answer & Explanation

sarabol2zsr

sarabol2zsr

Beginner2023-02-27Added 6 answers

We have:
XXX f ( x ) = x 3 - x 2 - 12 x
Factoring:
XXX f ( x ) = x ( x 2 - x - 12 )
XXXXX = x ( x - 4 ) ( x + 3 )
The instances of x for which a function returns 0 are referred to as its zeroes.
XXX f ( x ) = x ( x - 4 ) ( x + 3 ) = 0
implies
either
XXXXX x = 0
or
XXXXX ( x - 4 ) = 0 x = 4
or
XXXXX ( x + 3 ) = 0 x = - 3

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