Question #6446212Fill in the Blank
Algebra-1
Question
Solve the quadratic equation by factoring. The solutions are ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a quadratic equation with a leading coefficient other than 1. The equation is in standard form, and the coefficients are moderate, making it an easy problem.
This question tests the student's ability to solve a quadratic equation with a leading coefficient other than 1. The equation is in standard form, and the coefficients are moderate, making it an easy problem.
Key Concept Explanation
The key concept here is the Zero Product Property (ZPP), which states that if the product of two factors is zero, then at least one of the factors must be zero. This allows us to set each factor equal to zero and solve for the variable.
The key concept here is the Zero Product Property (ZPP), which states that if the product of two factors is zero, then at least one of the factors must be zero. This allows us to set each factor equal to zero and solve for the variable.
Step-by-step Solution
1. Factor the quadratic expression: .
2. Rewrite the equation using factors: .
3. Apply ZPP:
1. Factor the quadratic expression: .
2. Rewrite the equation using factors: .
3. Apply ZPP:
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