Find the x-intercepts of the quadratic function using the Zero Product Property. The x-intercepts are __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the x-intercepts of a quadratic function by factoring and applying the Zero Product Property.
Key Concept Explanation
The x-intercepts of a quadratic function are the points where the graph intersects the x-axis, which means the y-value is zero. By setting the function equal to zero and factoring, we can use the Zero Product Property to solve for the x-values.
Step-by-step Solution
1. Set the function equal to zero:
2. Factor the left-hand side:
3. Apply the Zero Product Property: or
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