Understanding Polynomial End Behavior and Zeros
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the degree of the polynomial f(x) = -5x^4 - 3x + 2?
Back
Degree 4 (quartic)
2.
FLASHCARD QUESTION
Front
What describes the leading term of a polynomial with a negative coefficient and even degree?
Back
Negative coefficient, even degree
3.
FLASHCARD QUESTION
Front
Analyze the end behavior of the polynomial h(x) = -x^3 + 2x^2 - 4x + 1. As x goes to the left, what happens to h(x)?
Back
h(x) goes up
4.
FLASHCARD QUESTION
Front
How many zeros does the polynomial function P(x) = 3x^4 + 4x - 8 have?
Back
4
5.
FLASHCARD QUESTION
Front
What is the leading coefficient of a polynomial with a positive leading term?
Back
Positive
6.
FLASHCARD QUESTION
Front
Define a polynomial function.
Back
A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.
7.
FLASHCARD QUESTION
Front
What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?
Back
As x approaches infinity, f(x) approaches infinity; as x approaches negative infinity, f(x) approaches negative infinity.
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