Brian McLogan
Combining like terms by combining coefficients, 5w^2 + 13w^2
π Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
Brian McLogan
What is pascal's triangle and how to we create it
π Learn all about binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand...
Brian McLogan
Find the third term of a binomial raised to the 7th power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
Overview of adding like terms with monomials
π Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...
Brian McLogan
How to use synthetic division to divide polynomials
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
Finding the asymptotes
π 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...
Brian McLogan
Given 3 zeros one a fraction learn how to write the polynomial functions
π 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....
Brian McLogan
Applying synthetic division when your dividend is missing a term
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
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
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
Divide two polynomials using long division
π Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
TMW Media
Combinations
This program covers the important topic of combinations in Probability and Statistics. We begin by discussing what a combination is and why it is a central topic in probability. Next, we solve several problems that involve combinations...
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
Given a Polynomial and a Factor Rewrite Using the Division Algorithm
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
What does Descartes rule of signs tell us
π Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Master Classifying Conic Sections - Parabola, Circle, Ellipse, Hyperbola
Master Classifying Conic Sections - Parabola, Circle, Ellipse, Hyperbola
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...
Brian McLogan
Solving a system of equations by applying the addition method x+y=6, xβy=β2
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
SYTHENTIC DIVISION mistakes
Students often prefer sythentic division over long division because it is "easier" and faster. However students still make many mistakes and in this video I will highlight some of the most common mistakes.
Brian McLogan
How to use synthetic division to divide two polynomials forgot to write the quotient out
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 use elimination when your coefficients are not the same 5x + 3y = -10 , 3x + 5y = -6
πLearn 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...