Question #6446226Fill in the Blank
Algebra-1
Question
Solve the quadratic equation by factoring. The solutions are __________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to solve a quadratic equation by factoring, which involves finding two binomial factors of the quadratic expression and then applying the Zero Product Property (ZPP) to find the solutions.
This question requires students to solve a quadratic equation by factoring, which involves finding two binomial factors of the quadratic expression and then applying the Zero Product Property (ZPP) to find the solutions.
Key Concept Explanation
Factoring a quadratic equation means rewriting it as a product of two binomials. The ZPP states that if the product of two factors is zero, then at least one of the factors must be zero. This property is used to solve for the variable.
Factoring a quadratic equation means rewriting it as a product of two binomials. The ZPP states that if the product of two factors is zero, then at least one of the factors must be zero. This property is used to solve for the variable.
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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