Volumes are not negative.
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The polynomial -x^3 -x^2 + 12x represents the volume of a rectangular aquatic tank in cubic feet. ...
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If what you wrote is the way it was given to you, then
and the division you want to perform as synthetic division is, as if you were checking root of .
-4 | 1 1 -12
| -4 12
|________________
1 -3 0
This is .
The factorization of the volume expression is then .
Note, there are three real roots for -x^3-x^2+12x, and you should expect positive values for the volume to be somewhere on the positive x-axis.
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Must be the positive value.
-------------------Use this to find the length of x+4; and use x to evaluate the volume there.