Question #6454241Fill in the Blank
Algebra-1
Question
Factor the quadratic trinomial . The factored form is ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to factor a quadratic trinomial where the leading coefficient . The student must first factor out and then factor the resulting trinomial.
This question tests the ability to factor a quadratic trinomial where the leading coefficient . The student must first factor out and then factor the resulting trinomial.
Key Concept Explanation
When factoring a quadratic trinomial of the form , the first step is to factor out . This transforms the trinomial into . The next step is to factor the inner trinomial by finding integers and such that and .
When factoring a quadratic trinomial of the form , the first step is to factor out . This transforms the trinomial into . The next step is to factor the inner trinomial by finding integers and such that and .
Step-by-step Solution
1. Start with the trinomial:
2. Factor out :
3. Factor the inner trinomial
1. Start with the trinomial:
2. Factor out :
3. Factor the inner trinomial
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