For the equation $x^{3} + 11 x^{2} + 22 x + 8 = 0$ , $x + 2$ is a factor.

True

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False

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Solution

The correct option is A True
using the identity $a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$ , we can split the equation as $(x + 2) (x^{2} + 9 x + 4)$ . here we can see that $x + 2$ is a factor.

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