Question #6453352Fill in the Blank
Algebra-1
Question
The end behavior of the polynomial as is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the end behavior of a polynomial by examining its leading term and coefficient.
This question tests the student's understanding of the end behavior of a polynomial by examining its leading term and coefficient.
Key Concept Explanation
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. The sign of the leading coefficient and the parity of the degree (even or odd) dictate the direction of the end behavior.
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. The sign of the leading coefficient and the parity of the degree (even or odd) dictate the direction of the end behavior.
Step-by-step Solution
1. Identify the leading term: The leading term is .
2. Determine the degree: The degree is 6, which is even.
3. Determine the sign of the leading coefficient: The leading coefficient is 7, which is positive.
4. Apply the end behavior rule for an even degree and a positive leading coefficient: As
1. Identify the leading term: The leading term is .
2. Determine the degree: The degree is 6, which is even.
3. Determine the sign of the leading coefficient: The leading coefficient is 7, which is positive.
4. Apply the end behavior rule for an even degree and a positive leading coefficient: As
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