Pregunta
Use synthekic division to find the quotient and remainder when
is divided by
by completing the parts below.
(a) Complete this synthetic division table.
-3)
(b) Wrike your answer in the following form: Quotient
.
(a) Complete this synthetic division table.
-3)
(b) Wrike your answer in the following form: Quotient
Ask by Carlson Vargas. in the United States
Mar 13,2025
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Mind Expander
To complete the synthetic division table and find the quotient and remainder when
is divided by
, let’s start with the division process.
First, rewrite the polynomial in standard form and list the coefficients in the synthetic division:
- Use coefficients:
- The synthetic divisor for
is .
Now we fill out the synthetic division table.
This tells us that the quotient is given by the coefficients
,
,
, and
, so we have:
Quotient:
And the final remainder is
.
Now, for your final answer in the given form:
To summarize:
(a) The synthetic division table was completed successfully, filling in values to get the coefficients of the quotient and confirming that the remainder is zero.
(b) The polynomial divided by
yields the quotient
with no remainder.
So, in final form:
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