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Brian McLogan
How to simplify the root of a variable expression by using product property of exponents
π 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
What is factoring by the difference of two squares then solving
πLearn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Brian McLogan
Summary for solving using the difference of two squares
πLearn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Solving using the square method but first factoring out a gcf ex 11, y = 2x^2 - 50
πLearn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
How to solve a quadratic equation by using the square root method with irrational solutions
πLearn 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
Solving by completing the square
π Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Brian McLogan
Using the sum of two cubes with a fraction
π Learn how to factor polynomials using the sum or difference of two cubes. 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. To factor an...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Advanced - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...
Brian McLogan
Graph a Piece Wise Function With the Reciprocal and Square Root
π Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
Learn to graph a circle when given two points o the diameter
Learn how to write the equation of a circle given different pieces of information. When writing the equation of a circle you will be work from the general equation of a circle and plug in our given information such as the radius, center,...
Brian McLogan
What is the reflection of a trigonometric cosine graph
π Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Curated Video
Simplifying Square Roots with Physical Models
In this video, the teacher explains how to simplify square roots by using physical models and the Pythagorean theorem. They demonstrate how to calculate the length of a square root by finding the area of squares and splitting them into...
Brian McLogan
Solving using the quadratic formula
π 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...
APMonitor
Subplots with Matplotlib in Python
Subplots combine multiple plots into a single frame. The key to using subplots is to decide the layout of the subplots and to then configure each subplot individually.
Brian McLogan
How to use special right triangles to find missing lengths
π 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...
Brian McLogan
Given the long leg of a special right triangle determine the missing lengths
π 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...
Brian McLogan
Learn how to graph the equation of a circle when center is not at the origin
Learn how to graph the equation of a circle in standard form. When graphing a circle you in standard form we will first need to identify the center which is (h,k) and then use the radius to find the other points on the circle. On a graph...
Brian McLogan
Five different ways to solve a quadratic equation
Five different ways to solve a quadratic equation
Brian McLogan
Evaluate the six trigonometric functions for the given real number
π Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Simplifying a radical with variables as the radicand
π 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
Taking the square root of multiple terms to higher powers, root
π 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
Simplifying a radical expression by using the product rule
π 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
Adding two radical expressions - Express math help - Free teacher
π 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
Multiplying Two Radical Expressions
π 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...