Question #6454229Fill in the Blank
Algebra-1
Question
Factor the quadratic trinomial . The factored form is ____________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to factor a quadratic trinomial where the leading coefficient . The student must factor out and then factor the resulting trinomial.
This question tests the student's ability to factor a quadratic trinomial where the leading coefficient . The student must factor out and then factor the resulting trinomial.
Key Concept Explanation
To factor a quadratic trinomial of the form , the first step is to factor out . This converts the trinomial into the form , which can then be factored using the standard rules for trinomials with .
To factor a quadratic trinomial of the form , the first step is to factor out . This converts the trinomial into the form , which can then be factored using the standard rules for trinomials with .
Step-by-step Solution
1. Start with the given trinomial:
2. Factor out :
3. Find integers and such that and
1. Start with the given trinomial:
2. Factor out :
3. Find integers and such that and
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