two x to the fourth minus x cubed minus fifteen x squared plus three x divided by quantity x plus three
A term for x is needed, missing in your dividend so you will use dividend of
,
and the coefficients are 2, -1, -15, 0, 3;
and the "root" to check is .
setup the synthetic division
-3 | 2 -1 -15 0 3
|
|
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The Process for the synthetic division
-3 | 2 -1 -15 0 3
|
| 6 15 0 0
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2 5 0 0 3
That means, the result for the division is
and you can convert this to a single rational form if you want.