Brian McLogan
Graphing a rational function with a slant asymptote
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Synthetic division learn how to divide
👉 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
Classify a polynomial and determine the end behavior to fifth degree
👉 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...
Why U
Algebra 75 - Completing the Square - part 1
Quadratic equations can be solved using the "zero product property" once the quadratic expression has been factored into a pair of linear expressions. However, until the development of a technique called "Completing the Square", only...
Curated Video
Introduction to Integration and Finding the Equation of a Curve
The video explains the process of integration, which is the reverse of differentiation. The lecturer starts by giving an example of differentiation and then moves on to explain how to find the equation of a curve given its gradient...
KnowMo
Factorising Quadratics - Understanding the Process and Methods
The video is a lecture presentation on the topic of factorizing quadratics in algebra. The speaker provides an overview of the concept, emphasizing that factorizing is the reverse of expanding and involves putting the quadratic...
Curated Video
Factorizing Quadratics: Advanced Methods and Difference of Two Squares
The video provides a tutorial on factorizing quadratics with a coefficient of 'a' greater than one. The presenter explains how to use a variation of the sum and product rule to find the two numbers that add up to the linear coefficient...
Brian McLogan
Graphing the Cotangent Function with a Change in Period
👉 Learn how to graph a cotangent function. To graph a cotangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift...
Brian McLogan
Graphing Sine with Period Change and Reflection
👉 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
Classify a polynomial and determine degree and leading coefficient
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Brian McLogan
How to Use Elimination to Solve a System Multiplying
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Brian McLogan
Find the individual terms from binomial expansion
Find the individual terms from binomial expansion
Brian McLogan
Given 3 zeros one a fraction learn how to write the polynomial functions
👉 Learn how to write the equation of a polynomial when given fractional 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....
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
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...
Brian McLogan
Master how to determine if a function is linear or not
Master how to determine if a function is linear or not
Brian McLogan
Writing the polynomial in standard form so that you can find end behavior
👉 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
👉 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
👉 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
👉 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
👉 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