Brian McLogan
Tips for solving by factoring when a is greater than one
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
How to divide two rational expression by using the division property
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
Solving an equation with a logarithm on both sides
๐ Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Determine If an Equation is Even or Odd With a Root
๐ Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
Factoring using the difference of two squares
๐Learn 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
Learn how to factor out the GCF from a binomial
๐Learn 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
Learn how to factor a perfect square trinomial to a binomial squared
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
Simplifying a complex fraction by eliminating all of the fractions with the LCD
๐ 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
Learn how to identify the focus and directrix by completing the square
Learn how to graph a parabola in when it is given in the general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we...
Brian McLogan
Label the zeros, multiplicity, and determine degree and LC from a graph
๐ Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas...
Brian McLogan
Factoring an expression with a greater than one and two square variables 8x^2 -6xy -9y^2
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
Find All the Zeros Using of a Polynomial to the 4th Power
๐ Learn how to find all the zeros of a polynomial. 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 the values...
Curated Video
Factoring Special Products: Recognizing Sum and Difference Patterns
This video explains how to factor special products, specifically the difference of two squares and perfect square trinomials. Students will learn to recognize patterns and use what they already know to factor efficiently.
Brian McLogan
Solve Rational Equations | Rational Functions | Free Math Videos
In this video we will explore how to solve rational equations and label extraneous solutions. We will solve a variety of equations using multiple techniques. I make short, to-the-point online math tutorials. I struggled with math growing...
Brian McLogan
Find the center and radius of a circle by completing the square
Learn how to graph the equation of a circle by completing the square. Completing the square will allow us to transform the equation of a circle from general form to standard form. When the equation is in standard form we can identify the...
Brian McLogan
Learn how to solve a quadratic equation using a step by step method
๐Learn 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
Learn how to factor a trinomial using a perfect square trinomial 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
How to factor using the sum of two cubes
๐ 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
Factoring a polynomial using the difference of two cubes
๐ 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
Master graphing a polynomial without a calculator
Master graphing a polynomial without a calculator
Brian McLogan
Solving a rational expression by multiplying by the LCM
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
Solving a rational Equation
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 equations, one of...
Brian McLogan
Dividing two rational expression with a lot of factoring by multiplying
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...