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...
Curated Video
Applications for Completing the Square
This video is the third in a series relative to completing the square. This video will review how to use the method completing the square to write a quadratic equation in vertex form from standard form. Topics covered in this video:...
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
Master Determining the x and y intercepts of the reciprocal function
Master Determining the x and y intercepts of the reciprocal function
Brian McLogan
Solving a quadratic equation by using the difference of two squares
👉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 solve a quadratic equation using the square root method
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Overview Zeros of a functions - Online Math Tutor - Free Math Videos
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The...
Brian McLogan
Master Solving quadratic equations by factoring when a is not 1
Master Solving quadratic equations by factoring when a is not 1
Brian McLogan
How to apply transformations to graph the quadratic equation
👉 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
Solve with difference of two cubes, find all the zeros, linear factors
👉 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
Solving a quadratic using the square root method when there are no solutions
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
How to find the zeros, intercepts, and multiplicity
In this math tutorial I show you how to find the real zeros of a polynomial function by solving for x using algebraic techniques such as factoring, completing the square and the quadratic formula. I also show you how to determine the...
Brian McLogan
Overview of zeros of a polynomial - Online Tutor - Free Math Videos
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The...
Brian McLogan
How to divide using synthetic division and write your remainder over your divisor
👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
Using the remainder theorem to confirm if you have a zero or not
👉 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
Learn how to solve a polynomial using the difference of two cubes and quadratic formula
👉 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
How to apply factoring to a word problem of a rectangle
👉Learn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in...
Brian McLogan
Find the vertical and horizontal asymptotes
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Show the zero exists by the Intermediate Value Theorem
Show the zero exists by the Intermediate Value Theorem
Brian McLogan
Finding the vertex and x-intercepts of a quadratic function
👉 Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Brian McLogan
How to solve a quadratic when there are no solutions
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Use descartes rule of signs to find the number of positive and negative real zeros
👉 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
How to find the zeros of a polynomial 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
Identify asymptotes and intercepts of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...