Consider the quadratic function . Use the Zero Product Property to find the x-intercepts. 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 using the Zero Product Property. The function given is .
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 (or function value) is 0. To find these points, we set the function equal to 0 and solve for x using the Zero Product Property.
Step-by-step Solution
1. Set the function equal to 0:
2. Factor out the greatest common factor:
3. Factor the quadratic expression:
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