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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...
Brian McLogan
How to classify polynomials
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Brian McLogan
Write the equation of a polynomial through a point given the zeros
Write the equation of a polynomial through a point given the zeros
Brian McLogan
Determining if a function is a polynomial or not then determine degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Let's Tute
Geometrical Meaning of Zeroes of a Polynomial
In this video, the teacher explains how to find zeros of a polynomial geometrically using graphs. They demonstrate how to plot points and draw graphs for linear, quadratic, and cubic polynomials, and how the number of cuts on the X axis...
Brian McLogan
How to use the FTC to evaluate the definite integral of a polynomial
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Find the Multiplicity and Zeros of a Polynomial when It is in Factored Form
👉 Learn how to find all the zeros of a factored polynomial. 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 polynomial are the...
APMonitor
MathCAD Nonlinear Equation Solver
Solution of variables within nonlinear expressions can either be difficult or impossible with analytic or symbolic techniques. When a numerical solution is required, a nonlinear solution technique can be used within Mathcad with either a...
Brian McLogan
Writing the equation from a graph
👉 Learn how to write the equation of a line from graph. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which we can write the...
Brian McLogan
Dividing two polynomials using long division algorithm
👉 Learn how to divide polynomials by a monomial using the long division algorithm. A monomial is an algebraic expression with one term while a polynomial is an algebraic expression with more than one term. To divide a polynomial by a...
Brian McLogan
Finding the Slant Asymptote
👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Brian McLogan
Learn how to identify if a function is a polynomial and identify the degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Brian McLogan
Find the equation of the line give a point and a slope using slope intercept
👉 Learn how to write the equation of a line in a point-slope form. 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 which we can...
Curated Video
Completing the Square in Quadratic Expressions with Leading Coefficient Not Equal to 1: Area Model
In this video, the teacher uses area blocks to visually represent the polynomial and demonstrates how to rearrange the blocks to form completed squares. By adding and subtracting blocks, the teacher shows how the expression can be...
APMonitor
Linear and Polynomial Regression in MATLAB
Data regression is an empirical method to develop correlations. This tutorial demonstrates how to use MATLAB to fit a line and polynomial functions along with plotting the results and performing a basic statistical analysis.
Brian McLogan
Learn how to write a exponential equation written as a logarithmic equation
👉 Learn how to convert exponential equations to logarithmic 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...
Brian McLogan
Learn how to use u substitution to integrate a polynomial
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...