A rectangular garden has an area represented by the quadratic expression . If the length and width of the garden are both integers, what are the possible dimensions of the garden? The dimensions are and .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to factor a quadratic expression and apply it to a real-world context. The area of the garden is given as a quadratic expression, and the student must factor it to find the possible dimensions.
Key Concept Explanation
Factoring a quadratic expression involves finding two binomials whose product equals the original quadratic. In this context, the factors represent the possible dimensions of the garden.
Step-by-step Solution
1. Factor the quadratic:
2. Set each factor equal to zero:
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