Consider the quadratic equation (2x - 3)(x + 4) = 0. Using the Zero Product Property, the solutions are _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the Zero Product Property and their ability to solve a factored quadratic equation. The problem provides a quadratic equation in factored form, and the student must identify one of the solutions by setting one of the factors equal to zero.
Key Concept Explanation
The Zero Product Property states that if the product of two or more factors equals zero, then at least one of the factors must be zero. For the equation , this means either or .
Step-by-step Solution
1. Identify the factors: and
2. Set each factor equal to zero:
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