Question #6454245Fill 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 when the leading coefficient is . It requires students to first factor out and then factor the resulting trinomial.
This question tests the ability to factor a quadratic trinomial when the leading coefficient is . It requires students to 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 converts the trinomial into the form . The next step is to factor the inner trinomial using the rules for factoring when the leading coefficient is 1.
When factoring a quadratic trinomial of the form , the first step is to factor out . This converts the trinomial into the form . The next step is to factor the inner trinomial using the rules for factoring when the leading coefficient is 1.
Step-by-step Solution
1. Start with the given trinomial:
2. Factor out :
3. Factor the inner trinomial :
Find integers and
1. Start with the given trinomial:
2. Factor out :
3. Factor the inner trinomial :
Find integers and
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