Instructional Video2:53
Brian McLogan

Subtracting complex numbers

12th - Higher Ed
In this video series I show you how to add and subtract complex numbers. Addition and subtraction of complex numbers is very similar to addition and subtraction of polynomials where we can only combine like terms. We then want to write...
Instructional Video6:26
Brian McLogan

How to simplify roots with imaginary numbers and simplify complex numbers

12th - Higher Ed
πŸ‘‰ Learn how to simplify radical expressions. In this playlist we will explore simplifying radical expressions by prime factorization and rules of exponents. We will explore the square root, cube root as well as the fourth root of numbers...
Instructional Video3:37
Brian McLogan

Algebra 2 - Learn how to multiply two complex numbers in using the box method, (3 - 2i)(1 + 3i)

12th - Higher Ed
In this video playlist you will learn everything you need to know with complex and imaginary numbers (3 - 2i)(1 + 3i)
Instructional Video6:52
Brian McLogan

Learn how to solve a word problem by using factoring a quadratic

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Instructional Video6:38
Brian McLogan

Label the zeros, multiplicity, and determine degree and LC from a graph

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video3:56
Brian McLogan

Tutorial - How do we divide complex numbers, 8/i

12th - Higher Ed
In this video series I will show you how divide complex numbers. We do this by eliminating the imaginary number on the denominator by producing equivalent fractions. We do this by multiplying i if we have an imaginary number on the...
Instructional Video5:05
Brian McLogan

Determine the number of positive, negative and complex roots of a polynomial

12th - Higher Ed
πŸ‘‰ 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 Video3:08
Brian McLogan

How to write the quotient of complex numbers in standard form

12th - Higher Ed
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...
Instructional Video1:45
Brian McLogan

Algebra 2 - Math tutorial for subtracting complex numbers, (-2 - 3i) - (-3 - 7i)

12th - Higher Ed
In this video playlist you will learn everything you need to know with complex and imaginary numbers (-2 - 3i) - (-3 - 7i)
Instructional Video2:24
Brian McLogan

Algebra 2 - Learn how to divide an imaginary number by a complex number by rationalizing denominator

12th - Higher Ed
In this video playlist you will learn everything you need to know with complex and imaginary numbers i/(4-i)
Instructional Video1:40
Brian McLogan

Algebra 2 - Simplifying a complex number by multiplying by i on the top and bottom, 5/i

12th - Higher Ed
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Instructional Video5:00
Curated Video

Simplifying Square Roots of Negative Numbers with Imaginary Unit i

K - 5th
In this video lesson, students will learn how to write the square root of a negative number using the imaginary unit i. The lesson explains the difference between real and imaginary numbers and demonstrates how to simplify square roots...
Instructional Video2:06
Brian McLogan

Learn to find the solutions of a quadratic by applying the quadratic formula

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Instructional Video5:21
Brian McLogan

Pre-Calculus - Adding rational expressions with and imaginary conjugates 2i/(2+i) + 5/(2-i)

12th - Higher Ed
In this math tutorial I will show you how to add and subtract complex numbers. You will learn the steps in adding rational complex numbers and rational expressions with imaginary. Like polynomials when adding complex numbers we can...
Instructional Video6:28
Brian McLogan

Given two real zeros & one complex, write the equation of the polynomial

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a polynomial when given imaginary 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...
Instructional Video2:47
Brian McLogan

Algebra 2 - Learn how to multiply two complex numbers and write in standard form

12th - Higher Ed
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Instructional Video2:44
Brian McLogan

Algebra 2 - Learn how to simplify the quotient of imaginary numbers, 2/3i

12th - Higher Ed
In this video playlist you will learn everything you need to know with complex and imaginary numbers 2/3i
Instructional Video1:22
Brian McLogan

How to use zero product property to solve a quadratic in factored form

12th - Higher Ed
πŸ‘‰Learn how to solve a quadratic equation using the zero product property. When a quadratic equation has been factored or is given in factored form, we can solve the quadratic equation by applying the zero product property. The zero...
Instructional Video15:20
Brian McLogan

Find complex zeros by factoring

12th - Higher Ed
Find complex zeros by factoring
Instructional Video1:34
Brian McLogan

Algebra 2 Add two complex numbers by rewriting the expression using i, (-5+sqrt(-4))+( -sqrt(-16))

12th - Higher Ed
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Instructional Video4:42
Brian McLogan

Algebra 2 - Simplifying square roots with imaginary numbers, x^2 + 1 = 0

12th - Higher Ed
In this video tutorial I show you how simplify imaginary numbers to a higher power. When working with imaginary numbers we notice that the value of imaginary numbers repeat after the degree 4. Therefore when we have an imaginary number...
Instructional Video2:12
Brian McLogan

Algebra 2 - Simplifying square roots to prepare for imaginary numbers, root(9), root(20)

12th - Higher Ed
In this video tutorial I show you how simplify imaginary numbers to a higher power. When working with imaginary numbers we notice that the value of imaginary numbers repeat after the degree 4. Therefore when we have an imaginary number...
Instructional Video7:07
Brian McLogan

Algebra 2 - Subtraction two rational expressions with complex numbers, ((1 + i)/i) - (3/(4 - i))

12th - Higher Ed
In this video playlist you will learn everything you need to know with complex and imaginary numbers ((1 + i)/i) - (3/(4 - i))
Instructional Video2:48
Brian McLogan

Algebra 2 - Where does the imaginary unit i come from, y = x^2 + 4

12th - Higher Ed
In this video playlist you will learn everything you need to know with complex and imaginary numbers y = x^2 + 4