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...
Brian McLogan
Learn how to factor out the GCF then use difference of two squares
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
Given a Zero as a Fraction, Find the 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
How to apply transformations to graph the quadratic equation
๐ Learn how to graph quadratic equations in vertex form. 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 can either...
Brian McLogan
Solve with difference of two cubes, find all the zeros, linear factors
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)....
Brian McLogan
Master Solving Logarithmic Equations using the product property of logarithms
Master Solving Logarithmic Equations using the product property of logarithms
Brian McLogan
Given two linear Factors find the remaining zeros
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
Find all the zeros 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)....
Brian McLogan
Solve a rational equation with the quadratic formula
๐ Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
Learn how to solve a polynomial using the difference of two cubes and quadratic formula
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)....
Curated Video
Understanding the Discriminant in Quadratic Equations
This video is a lecture presentation on the discriminant in algebra. The presenter explains how the discriminant is used to determine the number of real roots in a quadratic equation and how it is contained within the quadratic formula....
Brian McLogan
Quickly factoring a trinomial using the x method
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 using a perfect square 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
How to apply factoring to a word problem of a rectangle
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...