Instructional Video2:48
Brian McLogan

Simplifying a rational expression by using the rules of exponents

12th - Higher Ed
👉 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...
Instructional Video1:55
Brian McLogan

Learn how to evaluate a rational function for different values

12th - Higher Ed
👉 Learn how to evaluate a function and for any given value. For any function, f(x) x is called the input value or the argument of the function. To evaluate a function, all we have to do is to change the argument of the function from x to...
Instructional Video2:46
Brian McLogan

Divide two rational expressions when using the rules of exponents

12th - Higher Ed
👉 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...
Instructional Video3:15
Brian McLogan

Dividing rational expressions

12th - Higher Ed
Learn how to 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 divide by a fraction, we multiply by the reciprocal of the...
Instructional Video3:03
Brian McLogan

Dividing rational expressions

12th - Higher Ed
Learn how to 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 divide by a fraction, we multiply by the reciprocal of the...
Instructional Video2:23
Brian McLogan

Multiplying rational expressions

12th - Higher Ed
Learn how to multiply 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 multiply two rational expressions, we use the...
Instructional Video6:50
Brian McLogan

Find the solution to a rational equations and label extraneous solutions

12th - Higher Ed
👉 Learn how to solve 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 expressions, one...
Instructional Video2:04
Brian McLogan

Rules of exponents to help us simplify a rational expression

12th - Higher Ed
👉 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...
Instructional Video1:39
Brian McLogan

Learn how to multiply rational expressions

12th - Higher Ed
👉 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...
Instructional Video3:48
Brian McLogan

Dividing two simple rational expressions by factoring

12th - Higher Ed
Learn how to 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 divide by a fraction, we multiply by the reciprocal of the...
Instructional Video5:03
Brian McLogan

Divide two rational expressions by simplifying

12th - Higher Ed
Learn how to 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 divide by a fraction, we multiply by the reciprocal of the...
Instructional Video4:20
Brian McLogan

How to use Descartes rule of signs to determine the number of positive and negative zeros

12th - Higher Ed
👉 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...
Instructional Video4:29
Brian McLogan

Difference between equivalent fractions and equations

12th - Higher Ed
Learn how to add/subtract 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. When adding or subtracting rational expressions...
Instructional Video13:05
Brian McLogan

Graphing a rational function

12th - Higher Ed
👉 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...
Instructional Video12:46
Brian McLogan

Find All the Zeros of a Polynomial To the Fourth Gegree

12th - Higher Ed
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. 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...
Instructional Video3:06
Brian McLogan

Solving a natural logarithmic equation

12th - Higher Ed
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of...
Instructional Video2:13
Brian McLogan

Solving a two step equation with a rational expressions

12th - Higher Ed
👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or)...
Instructional Video2:12
Brian McLogan

What are the law of sines and when will we apply them

12th - Higher Ed
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...
Instructional Video2:21
Brian McLogan

Simplifying Complex Fractions

12th - Higher Ed
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Instructional Video2:22
Brian McLogan

Simplify by dividing two rational expressions using factoring

12th - Higher Ed
Learn how to 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 divide by a fraction, we multiply by the reciprocal of the...
Instructional Video2:27
Brian McLogan

Rewriting a rational expression using distributive property

12th - Higher Ed
In this video series I will show you how to rewrite fraction expressions by using the distributive property. This is a common method to help us rewrite fractions as two terms rather than one. (17 + 5n)/4
Instructional Video4:04
Brian McLogan

Dividing two rational expressions by multiplying by the reciprocal

12th - Higher Ed
Learn how to 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 divide by a fraction, we multiply by the reciprocal of the...
Instructional Video3:40
Brian McLogan

Dividing rational expressions

12th - Higher Ed
Learn how to 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 divide by a fraction, we multiply by the reciprocal of the...
Instructional Video1:31
Brian McLogan

Evaluating the Composition of Two Functions, Linear and Rational

12th - Higher Ed
Learn how to compose two linear functions. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of one of the functions with the value of the...