Question
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Use synthetic division to find the result when is divided by . If
there is a remainder, express the result in the form

Ask by Wright Ortega. in the United States
Nov 09,2024

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Answer

The result of the division is .

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Beyond the Answer

To perform synthetic division of the polynomial by , we first rewrite as .
Now, we use -6 in our synthetic division process:
  1. Write down the coefficients of the polynomial: .
  2. Set up the synthetic division:
  3. Add each column:
    • First column:
    • Second column:
    • Third column:
    • Fourth column:
    • Fifth column:
The final row represents the coefficients of the quotient, and the last number, -2, is the remainder. So, we can write the result of the division as:
Thus, the result when is divided by is:
or in the desired form:
So, finally:

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