Polynomial Key Features
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial expression.
2.
FLASHCARD QUESTION
Front
What does it mean if a polynomial has an odd degree?
Back
If a polynomial has an odd degree, its graph will have opposite end behaviors; as x approaches positive infinity, the polynomial approaches positive infinity, and as x approaches negative infinity, it approaches negative infinity.
3.
FLASHCARD QUESTION
Front
What does it mean if a polynomial has an even degree?
Back
If a polynomial has an even degree, its graph will have the same end behaviors; as x approaches both positive and negative infinity, the polynomial approaches either positive or negative infinity.
4.
FLASHCARD QUESTION
Front
What is a leading coefficient?
Back
The leading coefficient is the coefficient of the term with the highest degree in a polynomial.
5.
FLASHCARD QUESTION
Front
How does the leading coefficient affect the graph of a polynomial?
Back
If the leading coefficient is positive, the graph rises to the right; if it is negative, the graph falls to the right.
6.
FLASHCARD QUESTION
Front
What are zeros of a polynomial?
Back
Zeros of a polynomial are the values of x for which the polynomial equals zero; they are also the x-intercepts of the graph.
Tags
CCSS.HSF-IF.C.7C
7.
FLASHCARD QUESTION
Front
How can you determine the number of zeros a polynomial has?
Back
The Fundamental Theorem of Algebra states that a polynomial of degree n has exactly n zeros, counting multiplicities.
Tags
CCSS.HSN.CN.C.9
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