Writing Polynomial Functions

Flashcard
•
Mathematics
•
10th - 11th Grade
•
Hard
Wayground 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 involving 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 n is a non-negative integer.
2.
FLASHCARD QUESTION
Front
What are the zeros of a polynomial function?
Back
The zeros (or roots) of a polynomial function are the values of x for which the function equals zero. They can be found by factoring the polynomial or using the quadratic formula.
3.
FLASHCARD QUESTION
Front
How do you find the zeros of the function y=(x + 2)(x - 3)(3x - 5)?
Back
Set the function equal to zero: (x + 2)(x - 3)(3x - 5) = 0. The zeros are x = -2, x = 3, and x = 5/3.
4.
FLASHCARD QUESTION
Front
What is the relationship between the roots and the factors of a polynomial?
Back
Each root of a polynomial corresponds to a factor of the polynomial. If r is a root, then (x - r) is a factor.
5.
FLASHCARD QUESTION
Front
How do you write a polynomial given its roots?
Back
To write a polynomial from its roots, use the factored form: f(x) = a(x - r1)(x - r2)...(x - rn), where r1, r2, ..., rn are the roots and a is a non-zero constant.
6.
FLASHCARD QUESTION
Front
What is multiplicity in polynomial functions?
Back
Multiplicity refers to the number of times a particular root appears in a polynomial. A root with an even multiplicity will touch the x-axis, while a root with an odd multiplicity will cross the x-axis.
7.
FLASHCARD QUESTION
Front
Given the roots 1, -4, and 1/2, how do you write the polynomial?
Back
The polynomial can be written as f(x) = a(x - 1)(x + 4)(x - 1/2). If a = 2, then f(x) = 2(x - 1)(x + 4)(x - 1/2).
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
General Characteristics of Polynomials

Flashcard
•
10th - 11th Grade
15 questions
Writing Polynomial Functions

Flashcard
•
10th - 11th Grade
14 questions
Polynomials REVIEW add, subtr, mult & divide

Flashcard
•
10th Grade
15 questions
Fundamental Theorem of Algebra

Flashcard
•
10th - 12th Grade
15 questions
Remainder and Factor Theorem - Flashcard 2

Flashcard
•
11th Grade
15 questions
Unit 6.1 & 6.2 Polynomials

Flashcard
•
10th Grade
15 questions
multiplicity and polynomials

Flashcard
•
10th - 12th Grade
15 questions
Zeros of Polynomials

Flashcard
•
11th Grade
Popular Resources on Wayground
10 questions
Video Games

Quiz
•
6th - 12th Grade
10 questions
Lab Safety Procedures and Guidelines

Interactive video
•
6th - 10th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
10 questions
UPDATED FOREST Kindness 9-22

Lesson
•
9th - 12th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
20 questions
US Constitution Quiz

Quiz
•
11th Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
15 questions
ACT Math Practice Test

Quiz
•
9th - 12th Grade
16 questions
Parallel Lines Cut by a Transversal

Lesson
•
9th - 10th Grade
16 questions
Parallel Lines cut by a Transversal

Quiz
•
10th Grade
20 questions
Solving Multi-Step Equations

Quiz
•
10th Grade
20 questions
Multi-Step Equations and Variables on Both Sides

Quiz
•
9th - 12th Grade
10 questions
Angle Relationships with Parallel Lines and a Transversal

Quiz
•
9th - 12th Grade
10 questions
Angle Addition Postulate

Quiz
•
10th Grade
20 questions
Translations, Reflections & Rotations

Quiz
•
8th - 10th Grade