Question #6454121Fill in the Blank
Algebra-1
Question
Factor the quadratic trinomial .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to factor a quadratic trinomial where the leading coefficient is 1 and the constant term is positive.
This question tests the student's ability to factor a quadratic trinomial where the leading coefficient is 1 and the constant term is positive.
Key Concept Explanation
Factoring a quadratic trinomial involves finding two numbers that multiply to the constant term (c) and add to the coefficient of the linear term (b).
Factoring a quadratic trinomial involves finding two numbers that multiply to the constant term (c) and add to the coefficient of the linear term (b).
Step-by-step Solution
1. Identify the coefficients:
2. Find two numbers that multiply to 28 and add to 11. These numbers are 4 and 7.
3. Write the factors:
1. Identify the coefficients:
2. Find two numbers that multiply to 28 and add to 11. These numbers are 4 and 7.
3. Write the factors:
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