Brian McLogan
Best explanation for how to divide polynomials with long division
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
Write the equation of a line between two points that are fractions
👉 Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Brian McLogan
How to Solve a Polynomial to a Higher Power by Raising the Power of Your Factors
👉 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...
Brian McLogan
How to use long division to understand linear factorization and zeros
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
When do we have an oblique, slant asymptote for a rational function
👉 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...
Brian McLogan
When Given Two Zeros That are Complex Use Long Division to Find the Remaining Zeros
👉 Learn how to find all the zeros of a polynomial given one complex 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
Using long division to divide
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Curated Video
Using the Divisible by 9 Rule
In this short math video we will answer a standardized math test question where we need to determine which number value is evenly divisible by 9. We will review the divisible by 9 rule and apply it to each of the answer choices. We will...
Brian McLogan
Write the equation of a line parallel to another through a point
👉 Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...
Brian McLogan
Write the equation of a line given the slope and a point that the line runs through
👉 Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Brian McLogan
How to identify the asymptotes and intercepts of a rational function
👉 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...
Brian McLogan
Given an Complex Factor, Find the Remaining Zeros
👉 Learn how to find all the zeros of a polynomial given one complex 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
Find the Slant and Vertical Asymptotes of a Rational Function
👉 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...
Brian McLogan
Is it a factor or not? Polynomial Style
👉Is it a factor or not. In this video I will show you three different ways to identify if you have a factor or not of a polynomial and let you decide which method you want to use for your next problem.
Brian McLogan
Write the rational expression in reciprocal function form
👉 Learn all about reciprocal functions. A reciprocal function is a function of the form f(x) = 1/x. The graph of a reciprocal function is composed of the vertical and the horizontal asymptotes and the points where the curve turns. For...
Curated Video
How to Divide by a Decimal
In this short video we will answer a standardized math test question where we are asked to simplify an numerical expression by dividing by a decimal. We will set up long division and review how to move the decimal point. We will divide a...
Brian McLogan
Find the Zeros of a Polynomial Given One Zero as a Fraction
👉 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...
Curated Video
Understanding the Remainder Theorem Through Simple Division Problems
In this lesson, students will learn about the remainder theorem and its relationship to long division. They will understand how to find the remainder when dividing polynomials by evaluating the function at a specific value. Through...
Brian McLogan
Graph slant asymptotes
👉 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
When Given a Factor Find the Remaining Zeros of Polynomial
👉 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
Learn how to divide a monomial into a polynomial
👉 Learn how to divide polynomials by a monomial using the long division algorithm. A monomial is an algebraic expression with one term while a polynomial is an algebraic expression with more than one term. To divide a polynomial by a...
Brian McLogan
Learn How to Determine Slant Asymptote of a Rational Function
👉 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...
Brian McLogan
The Simple Way to Determine the Vertical and Slant Asymptotes
👉 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...
Curated Video
Interpreting Remainders (Part 1)
Interpret the remainder of a real-world division problem.