yholder12
yholder12 yholder12
  • 19-05-2021
  • Mathematics
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What is the remainder when a^3-4 is divided by a+2?

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altavistard
altavistard altavistard
  • 19-05-2021

Answer:

-12

Step-by-step explanation:

Use synthetic division to find the remainder:

a + 2 yields the synthetic division divisor -2.  The four coefficients of a^3 - 4 are {1, 0, 0, -4}.  Setting up synthetic division results in:

-2   /   1    0    0    -4

              -2    4     -8

     -------------------------

         1     -2    4    -12

The remainder is -12.  This is also the value of a^3 - 4 when a = -2.

     

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