Question
Use synthetic division to find the result when
is divided by
. If
there is a remainder, express the result in the form
there is a remainder, express the result in the form
Ask by Wright Ortega. in the United States
Nov 09,2024
Upstudy AI Solution
Tutor-Verified Answer
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:
-
Write down the coefficients of the polynomial:
. -
Set up the synthetic division:
-
Add each column:
- First column:
- Second column:
- Third column:
- Fourth column:
- Fifth column:
- First 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: