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
Bash Shell Scripting- Providing password for ssh using sshpass utility
This video shows how to provide a password for ssh using sshpass utility. This clip is from the chapter "Working with remote servers" of the series "Complete Bash Shell Scripting".This section shows how to work with remote servers.
Brian McLogan
How to find the legs of a special right triangle when given the hypotenuse
👉 Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Curated Video
Rationalizing the Denominator: Techniques and Examples
This video is a tutorial on how to rationalize the denominator of fractions containing square roots. The host explains the concept of irrational numbers and how it can be difficult to calculate with fractions that have irrational...
Curated Video
Complete Git Guide: Understand and Master Git and GitHub - Creating a Basic React application
This video explains how to create a basic React application. This clip is from the chapter "GitHub Pages" of the series "Complete Git Guide: Understand and Master Git and GitHub".This section explains how to create GitHub pages from...
Brian McLogan
Solving trigonometric equations with multiple angles
👉 Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Brian McLogan
Please explain the product rule of radicals, root
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Learn how to multiply 2 radical expressions two different ways
👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Brian McLogan
Subtracting a radical expression
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Simplifying using the power of product rule
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
Learn how to add two radical expressions together
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
How to find the product of two functions
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Determine the number of positive, negative and complex roots of a polynomial
👉 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
Divide a linear function by a square root function to find domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
How to simplify a radical expression by rationalizing the denominator
👉 Learn how to find the 4th root of rational expressions. To find the 4th root of a rational expression, we first express the rational expression as the 4th root of the numerator divided by the 4th root of the denominator. Next we...
Brian McLogan
How to evaluate a number to a negative rational power
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
How to take the odd root of a negative integer, cube root
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd...
Brian McLogan
How to factor any integer
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors.
Brian McLogan
Rewriting a logarithmic equation with a fraction in front
👉 Learn how to condense logarithmic expressions using the power rule. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions...
Brian McLogan
Evaluating for the tangent of an angle using the sum formula, tan
👉 Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
The Best Way to Simplify the Square Root of a Number, Sqrt(72)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Taking the root of a negative expression to an even power, root
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Learning to Multiply Square Root of Two Numbers by Simplifying First
👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Brian McLogan
Math tutorial for multiplying two radical expressions together by first simplifying
👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...