Question #6446088Fill 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 leading coefficient other than 1 and find its roots.
This question tests the student's ability to factor a quadratic equation with a leading coefficient other than 1 and find its roots.
Key Concept Explanation
Factoring a quadratic equation with a leading coefficient other than 1 involves finding two binomials whose product equals the original quadratic expression. Setting each binomial equal to zero gives the solutions.
Factoring a quadratic equation with a leading coefficient other than 1 involves finding two binomials whose product equals the original quadratic expression. Setting each binomial equal to zero gives the solutions.
Step-by-step Solution
1. Identify the quadratic equation:
2. Find two numbers that multiply to and add to 7 : 6 and 1
3. Rewrite the middle term:
4. Factor by grouping:
5. Factor the quadratic:
1. Identify the quadratic equation:
2. Find two numbers that multiply to and add to 7 : 6 and 1
3. Rewrite the middle term:
4. Factor by grouping:
5. Factor the quadratic:
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