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Brian McLogan
Simplify a rational expression by factoring the denominator
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor...
Brian McLogan
Graph Rational Functions | Rational Functions | Pre-Calculus
Let's discover how to identify the asymptotes and intercepts of a rational function. We will begin graphing the reciprocal function and use that to help us understand the asymptotes and intercepts of any reciprocal function. I make...
Brian McLogan
Multiplying rational expressions
👉 Learn how to simplify expressions by multiplying its terms. When multiplying expressions, each individual term of the expression is multiplied to its like term and the exponents are evaluated using the product rule, the quotient rule...
Brian McLogan
Summary for multiplying and dividing rational expressions
Learn how to multiply/divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to multiply two fractions, we multiply the numerators...
Curated Video
Rewrite polynomial expressions by factoring
In this lesson you will learn to rewrite polynomial expressions by factoring to simplify common factors.
Brian McLogan
What do I need to know to solve rational equations
👉 Learn about solving rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of...
Brian McLogan
Adding and subtracting three rational expressions
Learn how to add/subtract rational expressions. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then simplify our...
Curated Video
Rewriting Rational Expressions Using Long Division
In this video, the teacher explains how to rewrite rational expressions using long division as an alternative to factoring. They demonstrate the step-by-step process of long division with examples, showing how to find the quotient and...
Brian McLogan
Find x and y intercepts of a rational function
👉 Learn how to find the x and y-intercepts of a rational function. The x-intercept(s) of a function occurs when y = 0 and the y-intercept(s) of a function occurs when x = 0. To find the y-intercept of a function, we plug in zero for x...
Brian McLogan
Simplifying an expression using the rules of exponents
👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Curated Video
Dividing Rational Expressions
In this video, the teacher explains how to divide rational expressions by making connections to dividing fractions. They review the concept of dividing fractions and then apply the same principles to dividing rational expressions.
Curated Video
Solving Rational Equations Using the Least Common Denominator
In this video, students are taught how to solve rational equations by using the least common denominator. The teacher explains the steps involved in solving proportions and demonstrates how to solve different rational equations. The...
Curated Video
Solving Rational Equations and Checking for Extraneous Solutions
In this video, the teacher explains how to solve rational equations by eliminating the denominators and checking for extraneous solutions. They provide examples and step-by-step instructions on factoring the denominators, multiplying by...
Curated Video
Solving Real World Problems with Rational Equations
This video explains the concept of rational expressions and equations, the importance of checking for extraneous solutions, and the process of solving equations by multiplying by the least common denominator. Through various examples,...
Curated OER
How Do You Simplify a Mixed Expression Over a Mixed Expression?
You will need to pay close attention while watching this video. There are many steps and many operations to do to simplify this algebraic fraction. If it seems hard the first time you watch it and you miss something, then watch it again....
Curated OER
How Do You Subtract Two Rational Expressions with Different Denominators?
Reinforce instruction on the least common denominator and subtracting rational expressions with this tutorial video. Learners can view this video in class or at home. Consider using this resource to supplement your lesson plan.
Curated OER
What's a Rational Equation?
What is a rational expression? Is it something to do with numerators, denominators, and polynomials? What things make up a rational equation? Watch this video as the teacher explains what makes a rational equation.
Curated OER
How Do You Multiply Quotients of Monomials?
Multiply two monomial rational expressions and then rewrite the solution in simplest form. Multiplying seems straightforward, but what about the reducing part? Find the greatest common factor. Then divide the numerator by the GCF, and...
Curated OER
What's a Quotient?
A straightforward definition of a quotient, this video targets a slightly more advanced audience by using rational expressions to demonstrate a quotient. Make sure your class knows that a quotient is the answer they get when they divide...
Curated OER
How Do You Divide Quotients of Monomials?
Learn how to divide algebraic fractions by multiplying. What?! Yes, It's just like dividing regular fractions where you use the reciprocal of the second fraction and then multiply. Watch this video and see just how it's done.
Curated OER
How Do You Reduce Common Factors in a Rational Expression?
Multiply the given algebraic fractions. But first, reduce, reduce, reduce! It is a good rule of thumb to reduce as much as possible before multiplying. So how do you reduce rational expressions? Put the like terms together and cancel the...
Curated OER
How Do You Find Excluded Values?
Teach excluded values with this video. Using a real example, a lecturer breaks down how to find the excluded values of a rational expression. She defines what an excluded value is and completes the problem, explaining each step along the...
Curated OER
What's an Excluded Value?
What is the term that is applied when a variable's value makes the denominator in an expression zero? It's called an excluded value. This is something pretty important to know because a rational expression cannot be divided by zero and...