Find the value of `k ,` if `x+3` is a factor of `3x^2+k x+6.`

Explanation

To find the value of \( k \) such that \( x + 3 \) is a factor of the polynomial \( 3x^2 + kx + 6 \), we can follow these steps:

### Step 1: Understand the Factor Condition
Since \( x + 3 \) is a factor of the polynomial, it means that when we substitute \( x = -3 \) into the polynomial, the result should be zero.

### Step 2: Substitute \( x = -3 \)
We substitute \( x = -3 \) into the polynomial \( 3x^2 + kx + 6 \):
\[
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