Brian McLogan
Expand a Binomial with Fractions
👉 Learn all about sequences. In this playlist, we will explore how to write the rule for a sequence, determine the nth term, determine the first 5 terms or any term of the sequence. We will investigate binomial expansion as well as...
Brian McLogan
How to use factoring to solve a trigonometric equation
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
How to apply synthetic division when the zero is a fraction
👉 Learn about dividing by synthetic division when the divisor is a fraction. 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 do you factor a polynomial using the difference of two squares
👉 Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. 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...
Brian McLogan
Find the third term of a binomial expansion
👉 Learn how to find the given term of a 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
Master Determing the vertex, focus and directrix of a parabola by completing the square
Master Determing the vertex, focus and directrix of a parabola by completing the square
Brian McLogan
Simplifying a rational radical by multiplying by the conjugate
👉 Learn how to divide rational expressions having square root binomials. To divide a rational expression having a binomial denominator with a square root radical in one of the terms of the denominator, we multiply both the numerator and...
Brian McLogan
Simplify two rational expressions by adding
Learn how to add and/or 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...
Brian McLogan
Pre-Calculus - Using the conjugate to simplify a rational complex number (3-i) / (1+i)
In this video series I show you how to simplify rational complex numbers. We do this by eliminating dividing by an imaginary number. We can either do this by multiplying by i which produces -1 or multiplying by the conjugate of a...
Brian McLogan
Using the distributive property from a monomial to a trinomial
In this video series I show you how to multiply polynomials. We will multiply polynomials by using distributive property by multiplying only like terms. When are terms are raised to a power we will apply the product rule of exponents.
Brian McLogan
How to use synthetic division to divide two polynomials forgot to write the quotient out
👉 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
👉 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
Multiplying a monomial by a binomial
In this video playlist I will show you the basics for polynomial functions. We will start with factoring polynomial equations to determine the zeros of a polynomial. We will then learn how to write the polynomial given a set of zeros....
Brian McLogan
Identify the vertex and max min by completing the square
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
How to verify an identity with a fraction on both sides
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
Verifying a trigonometric Identities
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
How to simplify a rational trigonometric expression by factoring
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Brian McLogan
Multiply a Monomial by a Trinomial - Free Math Help Videos
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Brian McLogan
Applying the rules of exponents to multiply to monomials
👉 Learn how to simplify expressions using the product 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 an exponent which is the sum of...
Brian McLogan
Evaluating functions with a binomial
👉 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...
Brian McLogan
Multiplying polynomials to write in standard form and label the degree and LC
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Brian McLogan
Learn how to reorder a polynomial and determine the degree and leading coefficient
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that...
Brian McLogan
How to write a polynomial in standard form when divided by a number
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas...