Math Fortress
Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 3 of 3)
This video will teach how to rewrite common functional expressions into a "derivative friendly" form. A good understanding of intermediate algebra is required to succeed in any calculus class.
Curated Video
Subtracting Polynomials: Using the Distributive Property and Combining Like Terms
In this lesson, students will learn how to subtract polynomials by using the distributive property and combining like terms. They will discover that the difference of two polynomials is still a polynomial, as long as the exponents are...
Curated Video
Understanding Quadratic Functions with No Zeros or Real Roots
This video discusses the limitations of using zeros to graph a quadratic function and introduces the concept of functions with no zeros or real roots. It explains that if a quadratic function has no real number values that make it equal...
Curated Video
Understanding Closed Operations for Polynomials
In this video, the teacher explains the concept of closed operations for polynomials. They demonstrate how addition, subtraction, and multiplication of integers and natural numbers result in solutions that are still within the same set....
msvgo
Polynomials: One Variable
It explains zero, constant and one variable polynomial with activity and numerical. Describes types of polynomials on the basis of number of terms.
Curated Video
Adding Polynomials with Negative Coefficients
Learn that by using signed number operations and aligning like terms, you can easily add the coefficients of each pair of terms. The video emphasizes that addition of numbers with negative signs can be written in either order. Overall,...
Curated Video
Multiplying Complex Numbers: Introduction and Examples
In this video lesson, students learn how to multiply complex numbers using the definition of i and the procedures for multiplying polynomials. The lesson covers multiplying polynomials with multiple terms by a polynomial with one term,...
Curated Video
Describing the End Behavior of Polynomial and Exponential Functions
In this lesson, students will learn how to describe the end behavior of polynomial and exponential functions. They will understand that for polynomial functions, the end behavior is determined by the leading term, while for exponential...
Curated Video
Comparing Polynomial Functions: Determining Which Function Exceeds the Other
In this lesson, students will learn how to determine which of two polynomial functions eventually exceeds the other by comparing their degrees. By understanding the end behavior of polynomial functions and analyzing the leading terms,...
Brian McLogan
Write the equation of a line tangent to a polynomial through a point
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Curated Video
Finding Zeros of a Quadratic Function by Factoring a Trinomial
In this video, the teacher explains how to find the zeros of a quadratic function by factoring a trinomial. They explain the zero product property and the importance of factoring completely. They then demonstrate how to apply these...
Curated Video
Determining End Behavior of Polynomials
In this video, we explore the concept of end behavior in polynomials. We learn that the behavior of a polynomial as x approaches positive or negative infinity depends on the degree and leading coefficient of the polynomial. We examine...
Curated Video
Finding Zeros of Polynomial Equations: Factoring and Zero Product Property
In this video, the teacher explains how to find zeros of polynomial equations by factoring and using the zero product property. They demonstrate the process with examples, breaking down the steps and showing how to determine the correct...
Curated Video
Finding Zeros of Polynomials Using Graphing Calculators
In this video, the teacher explains how to find the zeros of a polynomial function using a graphing calculator. They demonstrate the process of long division to determine factors and use the quadratic formula to solve quadratic...
APMonitor
Data Science 🐍 Interpolation
Interpolation constructs new prediction points from a discrete set of known data points. There are many types of interpolation such as nearest neighbor (piecewise constant), linear, polynomial, cubic spline, and basis spline. In...
Brian McLogan
Using critical values and endpoints to determine the extrema of a polynomial
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which...
Curated Video
Evaluating Polynomials Using Long Division
In this video, the teacher explains how to evaluate a polynomial for a given value using both substitution and long division. They demonstrate step-by-step processes for solving polynomial equations and emphasize the importance of...
Brian McLogan
Find the particular solution given the conditions and second derivative
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Curated Video
Solving Polynomial Equations: Finding Solutions and Factoring
In this video, the teacher explains how to solve polynomial equations by factoring and using the remainder theorem. They provide step-by-step examples and show how to find all the solutions to the equations.
Curated Video
Adding Polynomials by Combining Like Terms
Understand the concept of degree and how it relates to the exponents in polynomial terms. Through examples and the use of algebra tiles, students will practice adding polynomials and see that the sum is always a polynomial.
Brian McLogan
Applying the first derivative test to a polynomial to determine the increasing and decreasing
👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...
APMonitor
Linear and Polynomial Regression in Python
This brief tutorial demonstrates how to use Numpy and SciPy functions in Python to regress linear or polynomial functions that minimize the least squares difference between measured and predicted values. Source Code:...
APMonitor
Linear and Nonlinear Regression in Python
Polynomial or general nonlinear functions are developed with Numpy and Scipy in Python. These exercises also cover methods to create linear or spline interpolations that interpolate between data points.