Brian McLogan
Dividing two polynomials using synthetic division
👉 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
Graphing a linear equation in standard form using the intercept method
👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
Learn how to use the power to product and power to quotient rule with multiple exponents
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
How to graph an exponential function by using a table
👉 Learn how to graph exponential functions. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the...
Curated Video
Dividing Fractions by Fractions
In this video, students learn how to divide fractions by fractions by thinking about equal sized groups. The teacher explains the concept using visual representations and examples. Students are also reminded to check their answers using...
Curated Video
Representing Fractions Greater than One on a Number Line
In this video, the teacher explains how to represent fractions greater than one using a number line. They demonstrate different ways to show fractions, such as using area models and sets. The teacher also emphasizes the importance of...
Brian McLogan
Compose a linear function into a square root function
Compose a linear function into a square root function
NASA
NASA's Most Scientifically Complex Space Observatory Requires Precision
The James Webb Space Telescope is one the most ambitious, and technically complex missions NASA has ever set its focus on. Building an infrared observatory of this magnitude, power and complexity has never been attempted before. In order...
Brian McLogan
Solving a one step equation with the reciprocal
👉 Learn how to solve one step linear equations. By one step we mean equations that take one step to solve. The one step is the inverse operation needed to isolate the variable such as addition, subtraction, division and multiplication...
Brian McLogan
Solve by factoring when a perfect square
👉Learn 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
Given two terms find the rule of the arithmetic sequence
👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic...
Brian McLogan
How to Determine the Amplitude and Period of a Graph
👉 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
Solve and write the linear factorization 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)....
Curated Video
Generating Equivalent Fractions Using The Number Line
Generate equivalent fractions using the number line and equations.
Brian McLogan
Learning the basics to how to graph the sine function and its points
👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
Learn how to divide two rational monomials
👉 Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Brian McLogan
How to find the inverse of a linear equation domain and range
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Curated Video
Contest Prizes and Sharing Slang for IELTS - IELTS Energy Podcast Bonus
Learn 6 slang phrases for "sharing," and find out about our IELTS Share contest and prizes!
Brian McLogan
Graph a hyperbola given the foci and length of transverse axis
Graph a hyperbola given the foci and length of transverse axis
Brian McLogan
What does radians in terms of pi mean and how does it look
👉 Learn about the angles on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle...
Brian McLogan
Exam Review Multiply two functions
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Finding the solutions by completing the square by factoring out a number
👉 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
4e Example 3 (How to find the x and y intercepts of trig functions)
4e Example 3 (How to find the x and y intercepts of trig functions)
Brian McLogan
Write the polynomial function given a complex and fraction as zeros
👉 Learn how to write the equation of a polynomial when given imaginary 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...