Find the remainder when the function f ( x ) = x 3 - 4 x 2 + 12 is divided by (x+2).

Question

Find the remainder when the function             f              (        x        )              =          x      3        -    4          x      2        +    12   is divided by (x+2).

argueiro6rn · Accepted Answer

x      3        -    4          x      2        +    12    =          g              (        x        )                    (      x      +      2      )        +    r        x    =    -    2  ,                     (        -        2        )            3        -    4                  (        -        2        )            2        +    12    =          g              (        x        )                    (              (        -        2        )            +      2      )        +    r        -    12    =    0    +    r                      r        =        -        12                        6      4        =    1   + remaidr 2      4    ×    1    +    2    =    6

Paxton Houston · Accepted Answer

here                     (      x      -      a      )        =          (      x      -              (        -        2        )            )        ⇒    a    =    -    2              f              (        -        2        )              =                  (        -        2        )            3        -    4                  (        -        2        )            2        +    12    =    -    12

Find the remainder when the function f ( x ) = x 3 - 4...

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