Question #6454153Fill 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 of the form where . The focus is on identifying pairs of numbers that multiply to and add to .
This question tests the student's ability to factor a quadratic trinomial of the form where . The focus is on identifying pairs of numbers that multiply to and add to .
Key Concept Explanation
Factoring a quadratic trinomial involves finding two numbers that multiply to the constant term and add to the coefficient of the linear term . These numbers are then used to write the trinomial as a product of two binomials.
Factoring a quadratic trinomial involves finding two numbers that multiply to the constant term and add to the coefficient of the linear term . These numbers are then used to write the trinomial as a product of two binomials.
Step-by-step Solution
1. Identify the coefficients: and .
2. Find two numbers that multiply to 40 and add to 13. The numbers are 5 and 8, since and
1. Identify the coefficients: and .
2. Find two numbers that multiply to 40 and add to 13. The numbers are 5 and 8, since and
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