Determine if Prime x^3+3x^2-2x-6

$x^{3} + 3 x^{2} - 2 x - 6$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} + 3 x^{2}) - 2 x - 6$

Factor out the greatest common factor (GCF) from each group.

$x^{2} (x + 3) - 2 (x + 3)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 3$ .

$(x + 3) (x^{2} - 2)$

Step 3

Since the polynomial can be factored, it is not prime.

Not prime