It $$ x+2 $$ a factor of $$ x^{2}+7 x-9 $$.

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To determine if $$ x+2 $$ is a factor of $$ x^{2}+7x-9 $$, we can use the factor theorem. According to the factor theorem, if $$ x-a $$ is a factor of $$ f(x) $$, then $$ f(a) = 0 $$.

Given that $$ x+2 $$ is a factor, we substitute $$ x = -2 $$ into the polynomial $$ x^{2}+7x-9 $$ and check if the result is equal to 0.

Substitute $$ x = -2 $$ into the polynomial:
$$ (-2)^{2} + 7(-2) - 9 $$

Now, let's calculate the result.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(-2\right)^{2}+7\left(-2\right)-9$$
- step1: Multiply the numbers:
  $$\left(-2\right)^{2}-14-9$$
- step2: Evaluate the power:
  $$4-14-9$$
- step3: Subtract the numbers:
  $$-19$$
The result of substituting $$ x = -2 $$ into the polynomial $$ x^{2}+7x-9 $$ is -19, which is not equal to 0. Therefore, $$ x+2 $$ is not a factor of $$ x^{2}+7x-9 $$.
$$ x+2 $$ is not a factor of $$ x^{2}+7x-9 $$.

It \( x+2 \) a factor of \( x^{2}+7 x-9 \).

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