Question #6454136Fill in the Blank
Algebra-1
Question
Factor the quadratic trinomial .
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to factor a quadratic trinomial when the leading coefficient is 1. It requires identifying pairs of numbers that multiply to the constant term and add to the linear coefficient.
This question tests the ability to factor a quadratic trinomial when the leading coefficient is 1. It requires identifying pairs of numbers that multiply to the constant term and add to the linear coefficient.
Key Concept Explanation
To factor a quadratic trinomial of the form , find two numbers that multiply to and add to . These numbers will be the constants in the binomial factors.
To factor a quadratic trinomial of the form , find two numbers that multiply to and add to . These numbers will be the constants in the binomial factors.
Step-by-step Solution
1. Identify the coefficients: and
2. Find two numbers that multiply to -36 and add to 5. These numbers are -4 and 9.
3. Write the factors:
1. Identify the coefficients: and
2. Find two numbers that multiply to -36 and add to 5. These numbers are -4 and 9.
3. Write the factors:
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