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 by factoring and applying the Zero Product Property. The quadratic function is given in standard form, and students need to factor it to find the roots.
Key Concept Explanation
The x-intercepts of a quadratic function are the points where the graph intersects the x-axis, which are the solutions to the equation . By factoring the quadratic expression and setting each factor equal to zero, we can find these solutions.
Step-by-step Solution
1. Set the function equal to 0: .
2. Factor out the greatest common factor (GCF): .
3. Factor the quadratic expression inside the parentheses:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.