To find the missing values in the factored form of the polynomial \( q(x) = (x + 4)(x + _ )(x - _ ) \), we first need to analyze the graph of the polynomial.
Typically, the roots (or x-intercepts) of the polynomial \( q(x) \) correspond to the factors. Given that one of the factors is \( (x + 4) \), we know that one root is \( x = -4 \).
You need to look at the graph to identify the locations of the other roots. The missing values will be derived from the x-intercepts on the graph:
- If there is a positive x-intercept (for example, at \( x = a \)), then the corresponding factor is \( (x - a) \).
- If there is another negative x-intercept (for example, at \( x = b \)), then the corresponding factor is \( (x + b) \).
Once you identify these values from the graph, you can fill in the blanks in the factored form.
However, since I cannot view the graph, please provide the x-intercepts you observe on the graph, and I'll guide you through the process to find the missing values in the factored form of \( q(x) \).