Question #6446082Fill in the Blank
Algebra-1
Question
Solve the quadratic equation by factoring. The solutions are _________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to factor a quadratic equation with a leading coefficient other than 1. The equation can be factored into two binomials.
This question assesses the student's ability to factor a quadratic equation with a leading coefficient other than 1. The equation can be factored into two binomials.
Key Concept Explanation
Factoring a quadratic with a leading coefficient involves finding two numbers that multiply to and add to . The equation is then factored into two binomials, and each binomial is set to zero to find the solutions.
Factoring a quadratic with a leading coefficient involves finding two numbers that multiply to and add to . The equation is then factored into two binomials, and each binomial is set to zero to find the solutions.
Step-by-step Solution
1. Identify the quadratic equation:
2. Find two numbers that multiply to and add to : 8 and 1
3. Rewrite the middle term:
4. Factor by grouping:
1. Identify the quadratic equation:
2. Find two numbers that multiply to and add to : 8 and 1
3. Rewrite the middle term:
4. Factor by grouping:
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