Polynomial Functions Teacher Resources
Find Polynomial Functions lesson plans and worksheets
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Khan Academy
Khan Academy: Differential Equations: Undetermined Coefficients 3
Video shows an example of solving a second order linear nonhomogeneous differential equation involving a polynomial function using undetermined coefficients. [8:09]
Khan Academy
Khan Academy: Calculus: Calculus: Graphing Using Derivatives
Video lesson using the first and second derivatives to find critical and inflection points and to graph a polynomial function. [20:31]
Khan Academy
Khan Academy: Algebra: Interesting Polynomial Coefficient Problem
Video demonstrates how to determine the coefficients of a third degree polynomial when given the zeros of the polynomial and the y-intercept. [16:15]
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Evaluating and Graphing Polynomials
Twenty-two problems present a variety of practice evaluating and graphing polynomials. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
Cuemath
Cuemath: Graphing a Quadratic Function
A comprehensive guide for learning all about how to graph a quadratic function with definitions, domain and range of quadratic function, vertex form, standard form, how to solve them, solved examples, and practice questions.
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes, Factorization of Quadratic Polynomial Ii
This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial
This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.
Khan Academy
Khan Academy: Taylor Series at 0 (Maclaurin) for E to the X
Video lesson using a Maclaurin series to approximate an exponential function by using a polynomial function and relates its polynomial approximation to that for the sine and cosine functions.
Khan Academy
Khan Academy: Even & Odd Functions: Equations
Given the formula of a polynomial function, determine whether that function is even, odd, or neither.
Khan Academy
Khan Academy: End Behavior of Polynomials
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: La Function Cuadratica. Parabolas.
In Spanish. In this unit you will examine the plot of a second -degree polynomial function. You will establish similarities and differences between the graphs of two second-degree polynomial functions from their coefficients.
Sophia Learning
Sophia: Decartes' Rule of Signs
Determine the number of real roots of a given polynomial function using Decartes' rule of signs. Assess learning with a quiz.
CK-12 Foundation
Ck 12: Algebra Ii: 11.13 Fundamental Theorem of Algebra
The Fundamental Theorem of Algebra is really the foundation on which most of the study of Algebra is built. In simple terms it says that every polynomial has zeros. That means that every polynomial can be factored and set equal to zero....
Khan Academy
Khan Academy: Maclaurin and Taylor Series: Sine Taylor Series at 0 (Maclaurin)
Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii
In this task, students compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: La Function Cuadratica. Parabolas.
This is an interactive activity to explore the second-degree polynomial function. It goes from the simplest case, y=x^2 to different translations.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Rational Zero Theorem
This tutorial will show you how to use the rational zero theorem, to find all zeros of a polynomial function, and how to use Descartes' rule of signs. Offers step-by-step solutions to example problems as well as practice problems for you...
Khan Academy
Khan Academy: Maclaurin and Taylor Series: Visualizing Taylor Series for E^x
Video lesson using a Taylor series to approximate e^x around x=3 by using a polynomial function and then showing some of the graphs of the expansion by using the Wolfram Alpha website.
CK-12 Foundation
Ck 12: Analysis: Quotient Rule and Higher Derivatives
[Free Registration/Login may be required to access all resource tools.] In the lesson students study the derivatives of rational functions and higher derivatives of polynomial functions. Students examine guided notes, review guided...
Texas Instruments
Texas Instruments: Finding Extreme Values
In this activity, students can use symbolic algebra and graphing to find the extreme values for a polynomial function.
Khan Academy
Khan Academy: Calculus: The Chain Rule
Video lesson that reviews how to find the derivative of polynomial functions and then informally introduces the chain rule by looking at a few examples. Includes link to additional practice at the top of the video. [9:12]
Khan Academy
Khan Academy: Method of Undetermined Coefficients: Undetermined Coefficients 3
Video shows an example of solving a second order linear nonhomogeneous differential equation involving a polynomial function using undetermined coefficients.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
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