Question #6454123Fill in the Blank
Algebra-1
Question
Factor the quadratic trinomial .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to factor a quadratic trinomial where the leading coefficient is 1, and the linear term has a negative coefficient. It requires identifying pairs of numbers that multiply to the constant term and add to the coefficient of the linear term.
This question assesses the student's ability to factor a quadratic trinomial where the leading coefficient is 1, and the linear term has a negative coefficient. It requires identifying pairs of numbers that multiply to the constant term and add to the coefficient of the linear term.
Key Concept Explanation
Factoring a quadratic trinomial in the form involves finding two numbers and such that and . The trinomial can then be factored as . When is negative, both and will also be negative.
Factoring a quadratic trinomial in the form involves finding two numbers and such that and . The trinomial can then be factored as . When is negative, both and will also be negative.
Step-by-step Solution
1. Identify the coefficients: and .
2. Find two numbers and
1. Identify the coefficients: and .
2. Find two numbers and
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