Zeros of Polynomial Functions

Flashcard
•
Mathematics, Other
•
9th - 12th Grade
•
Hard
Quizizz Content
FREE Resource
Student preview

15 questions
Show all answers
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: $$f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0$$ where \(a_n, a_{n-1}, ..., a_0\) are constants and \(n\) is a non-negative integer.
2.
FLASHCARD QUESTION
Front
What are the zeros of a polynomial function?
Back
The zeros of a polynomial function are the values of \(x\) for which the function equals zero. They are also known as the roots of the polynomial.
3.
FLASHCARD QUESTION
Front
How can you find the zeros of a polynomial function?
Back
To find the zeros of a polynomial function, you can set the function equal to zero and solve for \(x\). This can be done using factoring, the quadratic formula, or numerical methods.
4.
FLASHCARD QUESTION
Front
What is the relationship between the degree of a polynomial and the number of zeros?
Back
The degree of a polynomial function indicates the maximum number of zeros it can have. For example, a polynomial of degree 3 can have up to 3 zeros.
5.
FLASHCARD QUESTION
Front
What is the Factor Theorem?
Back
The Factor Theorem states that if \(f(c) = 0\) for a polynomial function \(f(x)\), then \(x - c\) is a factor of \(f(x)\).
6.
FLASHCARD QUESTION
Front
What is the Remainder Theorem?
Back
The Remainder Theorem states that when a polynomial \(f(x)\) is divided by \(x - c\), the remainder of that division is equal to \(f(c)\).
7.
FLASHCARD QUESTION
Front
How do you determine the multiplicity of a zero?
Back
The multiplicity of a zero refers to the number of times a particular zero appears as a root of the polynomial. If a polynomial can be factored as \(f(x) = (x - r)^m g(x)\), then \(r\) is a zero with multiplicity \(m\).
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Finding Zeros of a Polynomials Graphically

Flashcard
•
9th - 12th Grade
15 questions
Use Rational Root Theorem to find the Zeros of the Polynomial

Flashcard
•
9th - 12th Grade
14 questions
Solving polynomials

Flashcard
•
9th - 12th Grade
13 questions
Polynomials

Flashcard
•
9th - 12th Grade
14 questions
Algebra 2 Polynomial Functions 3.1, 3.5

Flashcard
•
9th - 12th Grade
15 questions
Zeros of Polynomial Functions

Flashcard
•
9th - 12th Grade
15 questions
Finding Zeros of Polynomials

Flashcard
•
9th - 12th Grade
15 questions
HAA Zeros and End Behavior

Flashcard
•
9th - 12th Grade
Popular Resources on Wayground
15 questions
Hersheys' Travels Quiz (AM)

Quiz
•
6th - 8th Grade
20 questions
PBIS-HGMS

Quiz
•
6th - 8th Grade
30 questions
Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz
•
7th Grade
20 questions
Multiplication Facts

Quiz
•
3rd Grade
17 questions
MIXED Factoring Review

Quiz
•
KG - University
10 questions
Laws of Exponents

Quiz
•
9th Grade
10 questions
Characterization

Quiz
•
3rd - 7th Grade
10 questions
Multiply Fractions

Quiz
•
6th Grade