Question #6446098Fill 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 factor a quadratic equation with a non-1 leading coefficient. The students need to find two binomials that multiply to form the given quadratic.
This question tests the student's ability to factor a quadratic equation with a non-1 leading coefficient. The students need to find two binomials that multiply to form the given quadratic.
Key Concept Explanation
Factoring a quadratic equation involves finding two binomials whose product equals the original quadratic. For the equation , we look for factors of that add up to .
Factoring a quadratic equation involves finding two binomials whose product equals the original quadratic. For the equation , we look for factors of that add up to .
Step-by-step Solution
1. Identify the coefficients: , , .
2. Find two numbers that multiply to and add to . These numbers are and .
3. Rewrite the middle term using these numbers: .
4. Factor by grouping:
1. Identify the coefficients: , , .
2. Find two numbers that multiply to and add to . These numbers are and .
3. Rewrite the middle term using these numbers: .
4. Factor by grouping:
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