Brian McLogan
Factoring out your GCF
π Learn how to factor polynomials by GCF. 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 it...
Brian McLogan
Factoring a hard trinomial
Learn how to factor higher order trinomials. 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...
Brian McLogan
Factoring a binomial to the fourth power by the difference of two squares
π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. 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...
Brian McLogan
Learn to write the equation of a quadratic polynomial when given two zeros
π Learn how to write the equation of a polynomial when given rational 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
Evaluate with a Variable the Composition of Two Functions
Learn how to compose two functions where one or both of those functions is/are quadratic. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...
Brian McLogan
Identify the vertex, domain and range from a quadratic by completing the square
π Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
How to write an equation from vertex form to standard form
π 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
Learning to find the zeros of a cubic trinomial by factoring
π 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...
Brian McLogan
How to solve 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
Learn how to determine the horizontal shift with horizontal reflection of a function
π 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
Divide a quadratic function by a square root function to determine the domain
π Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Solve Quadratics | Preparing for Precalculus Part 2
Solve Quadratics | Preparing for Precalculus Part 2
Brian McLogan
Solve a Quadratic | Three Different Ways
πLearn how to solve a quadratic equation using three different techniques from inverse operations, factoring and quadratic formula
Brian McLogan
Using Descartes Rule of Signs to determine possible number of solutions
π Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Label the vertex of a parabola with b
π Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Tutorial - Learn the best method to factoring a trinomial when a is not 1 ex 13, 3n^2 -17n+10
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
Tutorial - Promo Solving a quadratic using various methods
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
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 expressions, one...
Brian McLogan
The Easiest Way To Solve A Quadratic | Part 1
There are many ways to solve a quadratic equation. In this series I am going to explore the many ways that we can solve quadratics so that you have a better understanding we you are apporached by a problem to solve.
Brian McLogan
How to determine the domain of a rational function
π Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Solving a quadratic equation when it is not set equal to zero
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
Learn how to solve a literal equation with a quadratic term h = vt-gt^2 , g ex 22
π Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the...