**Objective:** Factor to find all x-intercepts of the function. **Function:** \[ f(x) = 2x^2 + x - 6 \] **Explanation:** To find the x-intercepts of the function, we need to set \( f(x) = 0 \) and solve for \( x \). This can be done by factoring the quadratic expression. The x-intercepts are the values of \( x \) for which \( f(x) = 0 \). **Steps for Factoring:** 1. **Identify Coefficients:** - \( a = 2 \) - \( b = 1 \) - \( c = -6 \) 2. **Find Two Numbers that Multiply to \( a \times c \) (i.e., \( 2 \times -6 = -12 \)) and Add to \( b \) (i.e., 1).** 3. **Rewrite Middle Term** using the numbers identified in step 2 and factor by grouping. 4. **Solve for \( x \)** by setting each factor equal to zero. **Note:** The exact factoring method may require trial and error or the quadratic formula if factoring is not straightforward. Understanding x-intercepts is crucial for analyzing the graphical behavior of functions, particularly in determining where the function crosses the x-axis.