Brian McLogan
Factoring using difference of two squares, x^2 - 9, 16x^4 - 100y^2, 4(4x^4 - 25y^2)
👉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
Factoring a trinomials to find the zeros of a function
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Solving using the difference of two squares with fractions
👉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
Solve by factoring when a=1
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
Solve by factoring when a perfect square
👉Learn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
Learn how to factor three different perfect square trinomials
👉Learn 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
Learn how to factor a trinomial using a rectangle
👉Learn 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
How to solve by factoring a perfect square trinomial
👉Learn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
Factoring out a GCF then factoring using various methods
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
Factoring and Solving quadratics as trinomials
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Factoring a quadratic with a not equal to one by two different methods
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
Adding two rational expressions by determine the LCD and adding like terms
Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...
Brian McLogan
Solve Trigonometric Equation Double Angle Formula
Solve Trigonometric Equation Double Angle Formula
Brian McLogan
Solve and write the linear factorization using the sum of two cubes
👉 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
Subtracting two rational expression by rewriting the problem as addition
Learn how to add/subtract rational expressions. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then simplify our...
Brian McLogan
Solving a quadratic equation by completing the square
👉 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
What is the Remainder 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
Using factoring to divide two rational expression
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Tutorial - Solving logarithmic equations ex 10, log(2x)+log(x-5)=2
In this video playlist you will explore how to solve logarithmic equations. To solve logarithmic equations it is important to first simplify your equation so that you either have an isolated logarithmic equation on one side or a...
Brian McLogan
Summary for solving a quadratic by completing the square
👉 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
What are the formulas for the sum and difference of two cubes
👉 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...
Brian McLogan
How to write a polynomial function when 1 zero is root of integer
👉 Learn how to write the equation of a polynomial when given irrational 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....
Brian McLogan
Learn to describe and solve for the zeros using completing the square
👉 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
Dividing two rational expression by factoring to simplify
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...