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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
πLearn 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
πLearn 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
π 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
π 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
π 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
π 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...
Curated Video
Solving Quadratic Problems: Factored Form and Finding Zeros and Symmetry
In this lesson, students will learn how to convert quadratic functions from standard form to factored form and use it to solve quadratic problems. They will also learn how to find the zeros and lines of symmetry using the factored form.
Brian McLogan
12 Quadratics Solved | Completing the Square
In this video I work through 12 examples of solving quadratic equations using the square root method and completing the square. Even though we could solve each quadratic equation by factoring or completing the square I go through the...
Brian McLogan
Solving a quadratic equation by completing the square
π 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...
Brian McLogan
Completely Factor a Polynomial Using Synthetic Division and Find Zeros and Sketch
π 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
Factoring a trinomial by first factoring out a negative 1
πLearn 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
Multiplying Using the Difference of Two Squares - Math Tutorial
π Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Brian McLogan
Multiply Examples on simplifying Complex rational fractions
Multiply Examples on simplifying Complex rational fractions
Brian McLogan
Learn how to simplify a complex rational expression by multiplying by the LCD
π 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 solve a quadratic equation by completing the square when a is not one
π 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
Adding two rational expressions with trinomial 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
How to factor a binomial with gcf
In this video tutorial I will show you how to factor out the GCF of an expression. We do this by first defining the GCF of the expression as the term with common elements with every term in the expression. We then divide every term by...
Brian McLogan
How to Factor by grouping - Factoring using the grouping
Learn how to factor polynomials 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. To factor an algebraic expression means to break...