Question #6448451Fill in the Blank
Algebra-2
Question
The roots of the polynomial are _____ and _____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the roots of a quadratic polynomial by factoring.
This question tests the student's ability to find the roots of a quadratic polynomial by factoring.
Key Concept Explanation
The roots of a polynomial are the values of that make the polynomial equal to zero. For a quadratic polynomial, these can be found by factoring the polynomial into linear factors.
The roots of a polynomial are the values of that make the polynomial equal to zero. For a quadratic polynomial, these can be found by factoring the polynomial into linear factors.
Step-by-step Solution
1. Factor the polynomial: .
2. Find two numbers that multiply to 42 and add to -13. These numbers are -6 and -7.
3. Write the polynomial as:
1. Factor the polynomial: .
2. Find two numbers that multiply to 42 and add to -13. These numbers are -6 and -7.
3. Write the polynomial as:
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