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Brian McLogan
Writing the polynomial in standard form so that you can find end behavior
π Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Complete the square to graph a quadratic in vertex form
π Learn how to graph quadratic equations by completing the square. 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...
Brian McLogan
Learn the basics of applying synthetic division to divide two polynomials
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
Dividing two polynomials using synthetic division
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
How to write a polynomial in standard form
π Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Master Solving a system of equations by substitution
Master Solving a system of equations by substitution
Curated Video
Interpreting Slope and Y-Intercept
In this video, we learn how to interpret slope and y-intercept in a real-world context using an equation that models the temperature of water being heated. We also learn how to use the equation to find the temperature of the water after...
Brian McLogan
Graphing a quadratic function in standard form
π Learn how to graph quadratics in standard form. 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...
msvgo
Quadratic Inequalities
It explains how to solve quadratic inequalities algebraically and graphically.
Brian McLogan
Systems of equations three variables three equations
πLearn how to solve a system of three linear systems. A system of equations is a set of equations which are to be solved simultaneously. A linear equation is an equation whose graph is a straight line. The solution to a system of...
Brian McLogan
Learn how to solve a system with substitution
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Putting an linear equation when a is negative
π Learn how to write the equation of a line given points, slopes and intercepts. We will work on writing the equation of a line in slope intercept form and standard form as well as writing the equation of a line parallela and...
Brian McLogan
Learn How to Graph Cosine with a Vertical Translation
π Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
Graph the Secant Function with an Extension of It's Period and Vertical Shift
π Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
How to expand a binomial with coefficients
πLearn how to expand a binomial with coefficients to the fifth power using binomial expansion and pascals triangle.
Brian McLogan
Graphing the Sine Curve with a Period Shift
π Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
How to Determine the Period and Amplitude of a Trigonometric Graph
π Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the...
Brian McLogan
Learn how to find the end behavior given a graph of a polynomial
π Learn how to determine the end behavior of a polynomial function from the graph of the function. To do this we look at the endpoints of the graph to see if it rises or falls as the value of x increases. If the graph of the polynomial...
Brian McLogan
Apply synthetic division with missing terms and check your answer with remainder theorem
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
Master Classifying Conic Sections - Parabola, Circle, Ellipse, Hyperbola
Master Classifying Conic Sections - Parabola, Circle, Ellipse, Hyperbola
Brian McLogan
What is synthetic division and how do we set it up
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 unknown, the solution for...
Brian McLogan
Identifying the leading coefficient and degree to write the end behavior of a polynomial
π Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Determining Factors and Listing the Zeros of a Polynomial Using Synthetic Division
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...
Flipping Physics
Understanding the Force of Friction Equation
The Force of Friction Equation is actually three equations is one.