Question #6454147Fill 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 with a negative linear coefficient. The problem requires identifying two 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 with a negative linear coefficient. The problem requires identifying two 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 . These numbers are then used to write the trinomial as a product of two binomials.
Factoring a quadratic trinomial in the form involves finding two numbers, and , such that and . 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 70 and add to -19. These numbers are -5 and -14 because
1. Identify the coefficients: and .
2. Find two numbers that multiply to 70 and add to -19. These numbers are -5 and -14 because
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