Question #6445855Fill in the Blank
Algebra-1
Question
Determine the x-intercepts of the quadratic function using the Zero Product Property.
Answer & Analysis
Analysis
Question Analysis
This question requires students to find the x-intercept of a quadratic function by factoring and applying the Zero Product Property. The quadratic function is given in standard form, and students need to recognize that it is a perfect square trinomial.
This question requires students to find the x-intercept of a quadratic function by factoring and applying the Zero Product Property. The quadratic function is given in standard form, and students need to recognize that it is a perfect square trinomial.
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. In this case, the quadratic is a perfect square trinomial.
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. In this case, the quadratic is a perfect square trinomial.
Step-by-step Solution
1. Set the function equal to 0: .
2. Recognize that the quadratic is a perfect square trinomial: .
3. Apply the Zero Product Property:
1. Set the function equal to 0: .
2. Recognize that the quadratic is a perfect square trinomial: .
3. Apply the Zero Product Property:
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