The solutions to the polynomial equation are the x-intercepts of the graph of the function . The x-intercepts are and .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to solve a quadratic polynomial equation by finding the x-intercepts of its graph. The equation is provided in standard form, and the student must factor it or use the quadratic formula to determine the roots.
Key Concept Explanation
The key concept is that the solutions to a polynomial equation are the x-intercepts of the graph of the corresponding polynomial function. For a quadratic equation, these x-intercepts can be found by factoring, using the quadratic formula, or graphing.
Step-by-step Solution
1. Start with the given equation:
2. Factor the quadratic equation:
3. Set each factor equal to zero:
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