Degree, leading coefficient, end behavior
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the degree of the polynomial f(x) = 2x^3 - 3x^2 + 4x - 10?
Back
3
2.
FLASHCARD QUESTION
Front
What is the leading coefficient of the polynomial f(x) = -3x^4 + 2x^3 - 5x^2 + 7x - 8?
Back
-3
3.
FLASHCARD QUESTION
Front
What does the end behavior of a polynomial describe?
Back
The behavior of the polynomial as x approaches positive or negative infinity.
4.
FLASHCARD QUESTION
Front
If the leading term of a polynomial is negative and has an even degree, what is the end behavior?
Back
As x approaches positive or negative infinity, f(x) approaches negative infinity.
5.
FLASHCARD QUESTION
Front
What is the leading term of the polynomial f(x) = 4x^5 - 2x^3 + x - 1?
Back
4x^5
6.
FLASHCARD QUESTION
Front
How do you determine the degree of a polynomial?
Back
The degree is the highest exponent of the variable in the polynomial.
7.
FLASHCARD QUESTION
Front
What is the end behavior of the polynomial f(x) = 2x^3 - 5x + 1?
Back
As x approaches positive infinity, f(x) approaches positive infinity; as x approaches negative infinity, f(x) approaches negative infinity.
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