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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...
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 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.
Brian McLogan
How to write a quadratic of it's factors using quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Math Fortress
Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 2 of 3)
This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions using the constant multiple, sum and difference rule.
Brian McLogan
Given rational function find the vertical asymptote and hole
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...
Curated Video
Writing Equations of Polynomials Using X-Intercepts
In this video, the teacher explains how to write the equation of a polynomial by analyzing its x-intercepts. They demonstrate the process using different graphs and explain the importance of factored form and the multiplication property...
Curated Video
Comparing Polynomial and Exponential Growth: Tables and Graphs
In this lesson, we observe that as X approaches infinity, both polynomial and exponential functions approach infinity. However, through examples and graphs, we discover that exponential functions eventually surpass polynomial functions...
Brian McLogan
Write the equation of a parallel line using point slope form
👉 Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...
Brian McLogan
Given complex zeros write the polynomial
👉 Learn how to write the equation of a polynomial when given imaginary zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Brian McLogan
Given a Complex Zero Use Synthetic Division to Find All of the Zeros for a Polynomial
👉 Learn how to find all the zeros of a polynomial given one complex zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
How to Find All of the Zeros Including Complex When Given a Polynomial
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
Given the Factors Determine All Zeros and Write as a Product of its Factors
👉 Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
Learning to find the derivative of a polynomial using sum and difference
👉 Learn how to find the derivative of a function using the power rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...