Question #6454232Fill in the Blank
Algebra-1
Question
Factor the quadratic trinomial . The factored form is ____________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to factor a quadratic trinomial where the leading coefficient . The key steps involve factoring out and then factoring the resulting trinomial.
This question evaluates the student's ability to factor a quadratic trinomial where the leading coefficient . The key steps involve factoring out and then factoring the resulting trinomial.
Key Concept Explanation
When the leading coefficient is , we first factor out to convert the trinomial into a standard form with . Then, we find two numbers that multiply to the constant term and add up to the coefficient of the linear term.
When the leading coefficient is , we first factor out to convert the trinomial into a standard form with . Then, we find two numbers that multiply to the constant term and add up to the coefficient of the linear term.
Step-by-step Solution
1. Start with the trinomial:
2. Factor out :
3. Find two numbers that multiply to
1. Start with the trinomial:
2. Factor out :
3. Find two numbers that multiply to
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