Brian McLogan
Given a list of three zeros find the factors of the polynomial
👉 Learn how to write the equation of a polynomial when given rational 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 Find the Remaining Zeros Using Long Division
👉 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...
Curated Video
Finding X Intercepts of Polynomial Functions by Analyzing Factors
This video explains the concept of X intercepts and their relationship to the factors of a polynomial function. They demonstrate how to find the X intercepts graphically and algebraically by setting the function equal to zero and...
Brian McLogan
Limits at infinity
👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Brian McLogan
How to take the third derivative of a polynomial
👉 Learn how to find the higher derivative of a function. 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 of a function...
Curated Video
Adding and Subtracting Polynomials without Like Terms
In this video, the teacher explains how to combine polynomials without like terms by adding and subtracting them. They demonstrate different methods, such as vertical addition and creating tables, to help students understand the concept.
Brian McLogan
How to apply the remainder theorem by evaluating and synthetic division
👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Let's Tute
Relationship Between Zeroes And Coefficient of Polynomials
In this video we will learn about the Relationship Between Zeroes And Coefficient of Polynomials. This video will cover topics such has General form, Sum of Zeroes, Product of Zeroes, Sum of product of Zeroes and solve some problems .
Brian McLogan
Analyzing the characteristics of a polynomial graph
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
APMonitor
Python Nonlinear Equations with Scipy fsolve
The Scipy optimization package FSOLVE is demonstrated on two introductory problems with 1 and 2 variables.
Brian McLogan
What information can you learn from the graph of a polynomial
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Finding the vertex of a quadratic function
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular parabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Brian McLogan
Given a list of zeros, learn how to write the equation of a polynomial
👉 Learn how to write the equation of a polynomial when given rational 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...
Curated Video
Subtracting Polynomials: Using Signed Number Operations and Combining Like Terms
In this lesson, students will learn how to subtract polynomials by combining like terms and using the rules of signed number operations. They will understand the importance of lining up terms by degree and subtracting each term...
Brian McLogan
Given a Irrational Factor | Find All the Zeros of the Polynomials
👉 Learn how to find all the zeros of a polynomial given one irrational 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 evaluate the limit of a constant function
👉 Learn how to evaluate the limit of a function involving polynomials. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a...
Brian McLogan
Given One Factor Using Synthentic Division to Determine the Remaining Zeros
👉 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
Transfering from logarithmic form to exponential
👉 Learn how to convert logarithmic equations to exponential equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Curated Video
Sketching Higher Order Polynomials and Identifying Disguised Quadratics
The video is a lecture presentation on sketching higher order polynomials. The presenter begins by recapping the general trends for even and odd powered graphs. Then, they introduce a general strategy for sketching any higher order...
Curated Video
Introduction to Factor Theorem and Factoring Polynomials
The video is a lecture presentation about the factor and remainder theorems in mathematics. The presenter explains how to use the factor theorem to find factors and remainders of polynomials by substituting specific values and also...
APMonitor
Data Science 🐍 Regression
Regression is the process of adjusting model parameters to fit a prediction to measured values. There are independent variables as inputs to the model to generate the predictions. For machine learning, the objective is to minimize a loss...
Brian McLogan
Learn to using the long division to divide two numbers
👉 In this video series you will learn how to divide integers. We will discuss basic division and then move to division using long division. Integers will be single digit as well as multi-digit problems. When a number the divisor does not...
Brian McLogan
How to use the Remainder Theorem with Polynomials
How to use the Remainder Theorem with Polynomials
Brian McLogan
Learn how to take the fourth derivative of a polynomial
👉 Learn how to find the higher derivative of a function. 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 of a function...