Question #6453351Fill in the Blank
Algebra-1
Question
The end behavior of the polynomial as is .
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to determine the end behavior of a polynomial by analyzing its leading term and coefficient.
This question evaluates the student's ability to determine the end behavior of a polynomial by analyzing 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 5, which is odd.
3. Determine the sign of the leading coefficient: The leading coefficient is , which is negative.
4. Apply the end behavior rule for an odd degree and a negative leading coefficient: As
1. Identify the leading term: The leading term is .
2. Determine the degree: The degree is 5, which is odd.
3. Determine the sign of the leading coefficient: The leading coefficient is , which is negative.
4. Apply the end behavior rule for an odd degree and a negative leading coefficient: As
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