Question #6446239Fill 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 by factoring, specifically when the leading coefficient is greater than 1.
This question tests the student's ability to solve a quadratic equation by factoring, specifically when the leading coefficient is greater than 1.
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 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 .
Step-by-step Solution
1. Factor the quadratic expression: .
2. Find two numbers that multiply to and add to : and .
3. Rewrite and factor by grouping:
1. Factor the quadratic expression: .
2. Find two numbers that multiply to and add to : and .
3. Rewrite and factor by grouping:
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