Brian McLogan
What do I need to know to solve a quadratic by 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
Solving a quadratic by applying the quadratic formula
๐ 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...
Curated Video
Proof of the Quadratic Formula through Completing the Square
The video is a tutorial on the proof of the quadratic formula. The speaker explains the formula and then proceeds to demonstrate how it is derived through the process of completing the square.
Brian McLogan
Learn How to Mentally Factor a Trinomial
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
Factoring a trinomial by first factoring out a negative 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
Easiest way to factor a perfect square trinomial
๐Learn how to factor perfect square trinomials. Perfect square trinomials are formed when binomials are multiplied by themselves. To factor an algebraic expression means to break it up into expressions that can be multiplied together to...
Brian McLogan
Master Solving using the quadratic formula with complex solutions
Master Solving using the quadratic formula with complex solutions
Brian McLogan
How to write the linear factorization from the quadratic formula
๐ 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...
Brian McLogan
Applying Rational Zero Test Then Find All of the Zeros
๐ 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...
Brian McLogan
Master finding all of the rational zeros of a polynomial without a calculator
Master finding all of the rational zeros of a polynomial without a calculator
Brian McLogan
Standard form to vertex form of a quadratic function
๐ Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Summary for solving a quadratic using various methods
๐Learn 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
Learn how to factor out the GCF variable and number from a binomial
๐Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Brian McLogan
Factoring a trinomial twice, first with the GCF
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
Given a Real Zero, Find Remaining Zeros of the Polynomial
๐ Learn how to find all the zeros of a polynomial given one rational zero. 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...
Brian McLogan
Master writing the equation of a polynomial give complex zeros
Master writing the equation of a polynomial give complex zeros
Brian McLogan
Multiple Examples to find all the asymptotes and intercepts of rational functions
Multiple Examples to find all the asymptotes and intercepts of rational functions
Brian McLogan
Learn how solve a quadratic by completing the square with fractions
๐ 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
Learn how to solve completely using the difference of two cubes
๐ 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)....
Virtually Passed
under damped over damped critically damped vibration proof (part 1)
Here I prove the formulas for under damped over damped and critically damped motion of a spring mass dampener system
Flipping Physics
Nerd-A-Pult #2 - Another Projectile Motion Problem
This time in our projectile motion problem, we know the displacement in the y-direciton and we are solving for the displacement in the x-direciton. We could you use the quadratic formula and I even show you how, however, I also show you...
Curated Video
Using the Discriminant in Quadratics
In this video, the presenter explains the concept of the discriminant and its use in solving quadratic equations. They explain how the discriminant is contained within the quadratic formula and how it can be used to determine the number...
Curated Video
Trig Identities: Using Tan Theta and Sine Squared Theta plus Cos Squared Theta
This video is a lecture presentation on using trigonometric identities to solve trigonometric equations. The presenter discusses the identities of Tan Theta being equal to sine Theta over Cos Theta and sine squared Theta plus Cos squared...
Brian McLogan
How to factor a trinomial when a is one
๐Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...