Brian McLogan
Applying Foil to Multiply Two Radical Expressions
👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply the sum/difference of two or more radicals, we make use of the distributive property to expand the product and then simplify the...
Brian McLogan
Algebra 2 - How to divide complex numbers (-5-9i) / (9+8i)
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Brian McLogan
Transforming an equation from standard form to vertex form
👉 Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Brian McLogan
Write the equation of the polynomial given the zeros
👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that 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...
Brian McLogan
What is synthetic division and how do we set it up
👉 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 unknown, the solution for...
Brian McLogan
How to write the polynomial given complex roots
👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that 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...
Brian McLogan
How to write the equation of a polynomial with two integer zeros
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
Brian McLogan
Verifying a trigonometric Identities
👉 Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Brian McLogan
Multiply and use fundamental identities to simplify
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
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...