Brian McLogan
Combining rational expression with unlike denominators
Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Completely Factor a Polynomial Using Synthetic Division and Find Zeros and Sketch
👉 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
Learn how to subtract two rational equations when the denominators are trinomials
Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
How to use the rational zero test to find all the possible zeros
👉 Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
Learn the basics for subtracting two rational expression by finding the LCM
Learn how to add/subtract rational expressions with monomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Completing the square to write a quadratic from standard form to vertex form
👉 Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Brian McLogan
Learn how to simplify a complex fraction
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Brian McLogan
How to divide two polynomials using long division
👉 Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Brian McLogan
Finding The Zeros of Fourth Degree Polynomial
👉 Learn how to find all the zeros of a polynomial by grouping. 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 polynomial are...
Brian McLogan
How to determine if a factor is a factor of a polynomial using factor theorem
👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Brian McLogan
How does the remainder theorem work with polynomials
👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Brian McLogan
Given complex zeros find the polynomial - Online Tutor
👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that 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...
Brian McLogan
Factoring by grouping by rearranging the middle terms
Learn how to factor expressions of two variables by grouping. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. When a given expression can be grouped...
Math Fortress
Calculus II: Trigonometric Integrals (Level 7 of 7)
This video concludes the methods for solving trigonometric integrals that contain combinations of sine and cosine. This video covers 4 challenging examples that require the use of different trigonometric identities, multiplying by the...
Brian McLogan
Finding the zeros of a function - Zeros of polynomial function
👉 Learn how to find all the zeros of a polynomial in the form of the difference of two squares. 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...
Let's Tute
Real Numbers: Finding the LCM
This video teaches the concept of least common multiple in mathematics, using examples of two bells ringing at different intervals. The teacher explains two methods of finding the least common multiple, one involving picturing the...
Curated Video
The McGurk Effect: How Our Eyes Influence What We Hear
Learn all about the McGurk effect, a perceptual phenomenon that demonstrates how our hearing can be influenced by what we see. The video presents various examples where the audio and visual inputs create different perceptions of the...
NASA
NASA | Uncovering Winter's Mystery
A brief recap of the satellite news media tour on February 1, 2012 that looked at the science of falling snow, how NASA observes snow from space, and the factors that lead to the 2010 "Snowmageddon."
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
👉Learn 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 use the difference of two square to solve a quadratic equation
👉Learn 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
How to find the solutions of a quadratic equation by factoring a perfect square trinomial
👉Learn how to solve quadratic equations by factoring. We will focus on factoring special techniques such as the zero product property, difference of two squares, box method and guess and check. Once we have factored the quadratic...
Brian McLogan
How to factor the difference of two squares, x^2 - 16; 4x^2 - 9; 16x^2 - 25y^2; x^4 - 64
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then...
Brian McLogan
How to Factor a Trinomial with Fractions as Coefficients
👉Learn 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...