Brian McLogan
Identify any horizontal or vertical asymptotes of a rational function
👉 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
Master Simplifying an expression using the product rule of exponents
Master Simplifying an expression using the product rule of exponents
Brian McLogan
Learn how to divide polynomials using long division with a quadratic divisor
👉 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...
Brian McLogan
Can you evaluate these 16 Logarithms without a calculator?
In this video I work through 16 different examples of evaluating a logarithm with a base of 2 and 3. We will evaluate logarithms that have an argument of integers and fractions.
Curated Video
Repeated Factor Expressions and Exponential Notation
Write a repeated factor expression in exponential form.
Curated Video
Evaluating Expressions: Understanding the Difference between Evaluating and Solving.
In this video, the teacher explains the difference between evaluating and solving expressions and reviews the order of operations. They give examples of how to evaluate expressions when given a value for the variable and provide tips for...
Curated Video
Using the Properties of Exponents to Simplify Expressions
This video lesson reviews the seven properties of exponents. Each of the properties is modeled to simplify expressions and student practice is embedded in the lesson. Applying more than one property to the simplifying of an expression is...
Brian McLogan
How to factor a trinomial trig identity
👉 Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...
Brian McLogan
Please explain the quotient rule of exponents root
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
How to simplify using division of monomials
👉 Learn how to simplify expressions using the quotient 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 and an exponent which is the...
Brian McLogan
Learn how to simplify by rewriting an exponent with a positive power
👉 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
Learn how to simplify an expression using the rules of exponents
👉 Learn how to simplify expressions using the product rule and the negative exponent rule of exponents. The product rule of exponents states that the product of powers with a common base is equivalent to a power with the common base and...
Brian McLogan
How to find the LCM of two monomials, exponents
👉 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 add two binomials polynomials
👉 Learn how to add polynomials. To add polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have...
Brian McLogan
Master Simplifying radical expressions using rational powers and the product rule
Master Simplifying radical expressions using rational powers and the product rule
Brian McLogan
Factor out the GCF
👉 Learn how to factor polynomials by GCF. 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. To factor an algebraic expression means to break it...
Brian McLogan
Simplifying a rational expression with rational exponents
👉 Learn how to divide with rational powers. To divide with numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and raise it to...
Brian McLogan
Simplifying a radical expression using rational exponents
👉 Learn how to simplify rational powers using the power and the product rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the product law which states...
Brian McLogan
Simplifying a number raised to a negative rational power
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
Pre-Calculus - Using the Properties of Logs to Simplify an Expression
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
What is a polynomial function
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The...
Brian McLogan
Simplify an expression with ratinal exponents, (-8y^9)^(1/3)
👉 Learn how to simplify rational powers using the power and the product rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the product law which states...
Brian McLogan
Tutorial - Evaluate a Log with a Larger Base Than the Value Without a Calculator
👉 Learn how to evaluate basic logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). Thus,...