Brian McLogan
Find the zeros and y intercept of the quadratic
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Curated Video
5G and Wireless Communication for Beginners - It's All about 0s and 1s
This video focuses on encrypting the input data using 0s and 1s. This clip is from the chapter "Going Digital with 2G" of the series "5G and Wireless Communication for Beginners".This section introduces you to 2G.
Brian McLogan
Write the equation of the polynomial given the zeros
👉 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
Learn how to use Descartes rule of signs and the fundamental theorem of algebra
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Curated Video
Sketching the Graph of Higher Degree Polynomial Functions
In this lesson, students learn how to sketch the graph of higher degree polynomial functions by finding the x-intercepts and determining the end behavior. They are guided through the process of setting the polynomial equal to zero,...
Brian McLogan
How and when to apply synthetic division of two polynomials
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Curated Video
Analyzing the Multiplicity of Roots and Sign Changes in Functions
In this lesson, students will learn how the multiplicity of roots affects the graph of a function. They will understand that a double root splits the graph into two intervals with positive Y values on both sides, while roots with odd...
Brian McLogan
Determine the product of two numbers in scientific notation
👉 Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first...
Brian McLogan
Learn how to use a rectangle to factor and solve a quadratic equation
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
How to solve a quadratic equation by using the square root method with irrational solutions
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Write the equation of a polynomial by converting zeros to factors and multiplying out
👉 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
What are roots, zeros and x intercepts and how can we tell the difference
In this video series I will go over the basic definitions used for this video series. We will go over what does solving mean, the zero product property and how can the discriminant help us solve a quadratic equation or function.
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Zeros and Coefficients of a Polynomial
It explains the relation between the Zeros and Coefficients of a linear polynomial, a quadratic polynomial and a cubic polynomial.
Brian McLogan
Solve by factoring when a=1
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Solving a quadratic equation when not equal to zero by factoring
👉 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...
Brian McLogan
How to find the roots of a quadratic polynomial
👉Learn how to solve quadratic equations by factoring. We will focus on factoring special techniques such as the zero product property, difference of two squares, box method and guess and check. Once we have factored the quadratic...
Brian McLogan
Given a table of values, learn how to identify the degree and LC
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas...
Brian McLogan
How to use the rational zero test to find all of the possible rational roots
👉 Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
How to use Descartes rule of signs to determine the number of positive and negative zeros
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Learning how to determine end behavior of any polynomial
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Find All the Zeros of a Polynomial To the Fourth Gegree
👉 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...
Curated Video
Shortcuts when Comparing Decimals (To Thousandths)
Learn quick ways of comparing two decimal numbers without using a place-value chart!
Curated Video
Bash Shell Scripting- Complete printf command
This video explains in detail how to write and used the printf command. This clip is from the chapter "Complete printf command" of the series "Complete Bash Shell Scripting".This section explains how to write and used the printf command.
Brian McLogan
Learn how to divide two numbers in scientific notation
👉 Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first...