Brian McLogan
How to solve a rational equation with an extraneous solution
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
Learn how to identify the transformations of a quadratic with b and h
Learn how to identify the transformations of a quadratic with b and h
Brian McLogan
Write the Equation of a Parabola Given Three Points
Given three points how can you write the equation of the parabola. In this video I will show you how to do it using systems of equations.
Brian McLogan
When Factoring Fails Us | Part 2
Factoring is a very important skill to develop but not always is it going to be helpful when solving quadratics. In this video I am going to show you what you can do when you need to solve a quadratic that is not factorable. There are...
Brian McLogan
Make factoring trigonometric functions simple.
When you have trouble factoring trigonometric functions it is helpful to think about factoring quadratics
Brian McLogan
What do you need to know to solve a perfect square trinomial
π Learn how to factor polynomials. 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 up...
Brian McLogan
Write the quadratic function given different transformations
Write the quadratic function given different transformations
Brian McLogan
What do you need to know to be able to factor polynomials
π Learn how to factor polynomials. 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 up...
Brian McLogan
Find the Zeros of a Polynomial Given One Zero as a Fraction
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
Finding the vertex in vertex form by rewriting the equation
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
Factoring when your a and c are squared
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
How to subtract a quadratic from a quadratic difference
π Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Brian McLogan
How to fill in a table of values for a quadratic function
π 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 find the GCF between two terms
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
How To Solve a Polynomial Equation Raised to the Fourth Power
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
Given the zeros of a function find the polynomial
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
Master Factoring higher order polynomials
Inside this course you will gain access to over 130 problems worked out step by step, over 100 extra practice problems with solutions provided and over 15 quizzes to test your skills until you achieve 100% mastery. Also provided are...
Brian McLogan
Why and how to we apply synthetic division with a missing term
π Learn about dividing by synthetic division when there is a missing power. 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
Learn How to Solve a Polynomial Equation to a Higher Degree 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
Major mistake when solving rational equations
πHere is one of the major mistakes I see when students are solving rational equations. Timestamps: 0:00 Intro 0:26 Example #1 1:08 Example #2 2:12 Example #3 3:37 Example #4 4:08 Example #5 5:00 Example #6 6:41 Example #7 7:54 Example #8...
Brian McLogan
Asymptotes and Intercepts of a Rational Function
π 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
How do you find the vertex of a parabola
π Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Solve an equation using the quadratic formula
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...