is the binomial (x+2) a factor of: x^3+4x^2+x-6 yes, it is not a factor
(x^3+4x^2+x-6) /(x+2) = x^2 + 2x - 3
x^2 + 2x - 3
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(x+2) x^3+4x^2+x-6
x^3 + 2x^2
- -
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2x^2 + x - 6
2x^2 + 4x
- -
--------------------
-3x - 6
- 3x - 6
+ +
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0