Brian McLogan
How to solve a quadratic by factoring in your head
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
How do you solve a quadratic by using the square root method
πLearn 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
When Given a Polynomial & Its Factors Find All Zeros and Write as a Product of its Factors
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
How do you solve a quadratic 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...
Curated Video
Factoring with the Distributive Property Using Area Models
In this video, students learn about factoring expressions using the distributive property and area models. The video explains how to break down an expression into common factors and create equivalent expressions.
Brian McLogan
Simplifying the square root of an expression
π Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Graph a Piecewise Function With a Hole
π Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
Find the transformations domain and range the the square root function
π Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Learn to rationalize the denominator by simplifying the radical first
π Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
Factoring out a GCF then the trinomial
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
Solving by factoring and square root method
πLearn 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
Solving a quadratic equation by the square root method
πLearn 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 factor a quadratic equation when c=0 - Free Math Help - Online Tutor
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
How to factor a quadratic equation by using a perfect square
πLearn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
How to solve a quadratic by factoring a GCF from two terms
πLearn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Healthcare Triage
Cystic Fibrosis, Life Expectancy, and the Greatest Health Care System in the World
Cystic fibrosis is an inherited disorder that affects the lungs, pancreas, intestines and other organs. A genetic mutation leads to secretory glands that don't work well; lungs can get clogged with thick mucus; the pancreas can become...
Brian McLogan
What are zeros of a polynomial
π 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
Solving by completing the square and factoring out a two
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 polynomials using synthetic division
π Learn about dividing by synthetic division. 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 the variable, the solution for...
Brian McLogan
Solving an exponential equation by factoring
π Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Curated Video
Dilations: A Mathematical Change in Size
This video lesson introduces dilations. Dilations are a transformation that changes the size of a figure by enlarging it by a scale factor greater than one or by reducing it by a scale factor less than one. Real world examples are...
The Business Professor
Impossibility and Impracticability of Performance - Contract
This Video Explains Impossibility and Impracticability of Performance - Contract
Brian McLogan
Using Square Numbers to Simplify Radicals, Root(40)
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Learn how to use the side lengths of a rectangle to solve quadratic equation by factoring
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...