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

Question

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

sarabol2zsr · Accepted Answer

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  implieseither                              XXXXX                      x    =    0  or                              XXXXX                            (      x      -      4      )        =    0    →    x    =    4  or                              XXXXX                            (      x      +      3      )        =    0    →    x    =    -    3

What are the zeros of the polynomial function f ( x ) = x 3...

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