Brian McLogan
How do you convert from standard form to vertex form of a quadratic
๐ Learn how to graph quadratic equations by completing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which...
Brian McLogan
Trigonometry | Preparing for Precalculus Part 6
Trigonometry | Preparing for Precalculus Part 6
Math Fortress
Calculus III: The Dot Product (Level 5 of 12)
This video goes over the dot product also known as the scalar product. This video goes over a proof for the geometric definition of the dot product. This video also goes over 4 examples illustrating how to find the angle between two...
Virtually Passed
Dot product and angle between two vectors proof
The angle between two vectors can be found by using the cosine rule in a clever way.
Professor Dave Explains
The Quantum Barrier Potential Part 1: Quantum Tunneling
Now that we've covered the particle in a box, we are familiar with the concept of a quantum problem. Let's move on to our second quantum problem, that of the quantum barrier potential. With this one, we don't have an infinite square well...
Brian McLogan
Solving a simple logarithm
๐ Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of...
Brian McLogan
Write the equation of a hyperbola given the foci and length of transverse axis
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
Learn how to verify a trigonometric identity
๐ Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Brian McLogan
Summary for simplifying trigonometric expressions
๐ Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...
Brian McLogan
Exam Review How to determine the number of solutions for a trigonometric equation
Exam Review How to determine the number of solutions for a trigonometric equation
Brian McLogan
Learn how to not follow PEMDAS and still simplify an expression with the rules of exponents
๐ Learn how to simplify expressions by multiplying its terms. When multiplying expressions, each individual term of the expression is multiplied to its like term and the exponents are evaluated using the product rule, the quotient rule...
Brian McLogan
How to rationalize the denominator with a radical
๐ Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
Find the Product of Two Radical Expressions by Simplifying First
๐ 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
What is the zero product property and how do we use it
๐Learn how to solve a quadratic equation using the zero product property. When a quadratic equation has been factored or is given in factored form, we can solve the quadratic equation by applying the zero product property. The zero...
Brian McLogan
Solve by factoring when a is greater than one
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 do you factor a trinomial when a is not equal to one
๐Learn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in...
Brian McLogan
How do you factor a quadratic trinomial when a is not 1
๐Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Brian McLogan
Learning how to solve a quadratic by applying the square root method
๐Learn 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
Learn how to apply the square root method to solve a quadratic
๐Learn 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
Overview Translating Expressions Key Words - Online Tutor - Free Math Videos
๐ Learn how to write an algebraic expression from verbal sentence as well as writing out a sentence from a algebraic expression. To do this we need to know what words we use to express operations such as addition, multiplication,...
Curated Video
The Pythagorean Theorem: See a Proof and Learn How to Use the Theorem
During this video lesson, students will be introduced to the Pythagorean Theorem which is read a squared plus b squared equals c squared. Students will learn key vocabulary and how to identify the legs and hypotenuse of a right triangle....
Brian McLogan
Master How to solve a quadratic equation by completing the square
So what I'd like to do is show you how to solve a quadratic equation and by completing the square. Now, typically, completing the square, we look into factoring. And if it's not factorable, we can use the quadratic formula. Now, a...