Polynomial Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial function?
Back
A polynomial function is a mathematical expression that involves a sum of powers in one or more variables multiplied by coefficients. The general form is f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.
2.
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. For example, in f(x) = 2x^3 + 3x^2 + 1, the degree is 3.
3.
FLASHCARD QUESTION
Front
How do you determine the maximum number of zeros of a polynomial function?
Back
The maximum number of zeros of a polynomial function is equal to its degree. For example, a polynomial of degree 4 can have at most 4 zeros.
Tags
CCSS.HSF-IF.C.7C
4.
FLASHCARD QUESTION
Front
What is a zero of a polynomial function?
Back
A zero of a polynomial function is a value of x for which f(x) = 0. It represents the x-intercepts of the graph of the function.
Tags
CCSS.HSF-IF.C.7C
5.
FLASHCARD QUESTION
Front
What is the y-intercept of a polynomial function?
Back
The y-intercept of a polynomial function is the value of f(x) when x = 0. It is the point where the graph intersects the y-axis.
6.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in a polynomial?
Back
The leading coefficient is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial's graph.
7.
FLASHCARD QUESTION
Front
What is the difference between maximum and minimum zeros of a polynomial?
Back
Maximum zeros refer to the highest number of times the polynomial can cross the x-axis, while minimum zeros refer to the least number of times it can cross, which can be zero.
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