Instructional Video1:03
Brian McLogan

Learn how to graph a negative angle in degrees

12th - Higher Ed
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Instructional Video1:00
Brian McLogan

Evaluating the cotangent function using the first quadrant of the unit circle

12th - Higher Ed
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Instructional Video4:25
Brian McLogan

Evaluate your point using period as an aide - free math help

12th - Higher Ed
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Instructional Video1:24
Brian McLogan

How to write the final answer of a problem using synthetic division

12th - Higher Ed
👉 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...
Instructional Video15:17
Brian McLogan

Master Graphing Rational Functions Part 3

12th - Higher Ed
Master Graphing Rational Functions Part 3
Instructional Video5:57
Brian McLogan

Solve for the Zeros Using Quadratic Formula

12th - Higher Ed
👉 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...
Instructional Video3:57
Brian McLogan

Zeros Multiplicity and End Behavior

12th - Higher Ed
👉 Learn how to find all the zeros of a factored 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...
Instructional Video3:26
Brian McLogan

When given three rational zeros learn to write the polynomial equation

12th - Higher Ed
👉 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...
Instructional Video4:48
Brian McLogan

When do we have an oblique, slant asymptote for a rational function

12th - Higher Ed
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
Instructional Video2:14
Brian McLogan

Write the end behavior of a polynomial factored out

12th - Higher Ed
👉 Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Instructional Video2:48
Brian McLogan

What is the horizontal asymptote test

12th - Higher Ed
👉 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...
Instructional Video11:16
Music Matters

What's the Key of this Piece? - Music Theory

9th - 12th
When you look at a melody how do you know in which key it is composed? This music theory lesson presents a short piece and explains how to determine the key of a given melody. It also talks about modulation to a different key. How good...
Instructional Video8:16
Let's Tute

Polynomials: Introduction

9th - Higher Ed
In this video, we learn about polynomials which are expressions with many terms. We explore the real components of a polynomial such as variables, coefficients, and exponents. We also discover that polynomials can be classified into...
Instructional Video7:06
Brian McLogan

Use your trig identities to find the missing values of a triangle

12th - Higher Ed
👉 Learn how to find a missing side length of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a...
Instructional Video2:39
Brian McLogan

How to identify the asymptotes and intercepts of a rational function

12th - Higher Ed
👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Instructional Video3:26
Brian McLogan

How to Find the Zeros of a Polynomial by Factoring

12th - Higher Ed
👉 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...
Instructional Video2:04
Brian McLogan

How to apply synthetic division when your zero is a fraction

12th - Higher Ed
👉 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...
Instructional Video1:59
Brian McLogan

Find the Solution Set of a Polynomial by Factoring

12th - Higher Ed
👉 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...
Instructional Video3:02
Brian McLogan

Find the Slant and Vertical Asymptotes of a Rational Function

12th - Higher Ed
👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Instructional Video0:43
Brian McLogan

Learn how to graph a bearing

12th - Higher Ed
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Instructional Video0:42
Brian McLogan

How to graph a bearing as south due West

12th - Higher Ed
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Instructional Video0:53
Brian McLogan

Graph a bearing south due west

12th - Higher Ed
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Instructional Video4:23
Brian McLogan

Determine the Zeros for a Polynomial by Factoring

12th - Higher Ed
👉 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...
Instructional Video0:53
Brian McLogan

Determine end behavior from a polynomial not in descending order

12th - Higher Ed
👉 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...