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...
Brian McLogan
Classifying a polynomial
👉 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
Steps to determine if a polynomial function is even or odd
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
Rewrite a exponential equation in logarithmic
👉 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
What is the degree and leading coefficient of a polynomial
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Brian McLogan
Writing an equation using point slope form given a point and slope
👉 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...
Brian McLogan
Finding the zeros by factoring using the difference of two cubes
👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2)....
Catalyst University
Quantum Harmonic Oscillator: Theory and Example Problem #1
Quantum Harmonic Oscillator: Theory and Example Problem #1
Brian McLogan
Apply u substitution to 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...