Brian McLogan
Given a Complex Zero Find the Remaining Zeros Using Long Division
👉 Learn how to find all the zeros of a polynomial given one complex zero. 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 of a...
Brian McLogan
Pre-Calculus - Adding rational complex numbers- Online Math Tutor 2 / (1+i) - 3/(1-i)
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 only...
Brian McLogan
Simplifying two rational expressions with complex conjugates as denominators
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 only...
Brian McLogan
Tutorial - How do we divide complex numbers, 8/i
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...
Brian McLogan
Given a zero find the remaining zeros
👉 Learn how to find all the zeros of a polynomial given one irrational zero. 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 of a...
Brian McLogan
Summary for writing the equation of a polynomial given the zeros
👉 Learn how to write polynomial equations given the zeros of the polynomial. When given the zeros of a polynomial, the first thing that we do is to set the given zeros individually equal to the same variable and then we take the zero to...
Brian McLogan
Rationalize the denominator to simplify a trig expression
👉 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...
Curated Video
Rationalizing the Denominator
This lesson will cover rationalizing the denominator using a factor of 1 and conjugates.
Brian McLogan
Tutorial - Dividing complex numbers ex 21, (i + 2)/(i - 2)
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...
Brian McLogan
Tutorial - Dividing complex numbers ex 17, (-2 - 5i)/3i
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...
Brian McLogan
Tutorial - Dividing complex numbers ex 20, (7 + 4i)/(2 - 3i)
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...
Brian McLogan
Tutorial - Dividing complex numbers ex 19, 6i/(3 - i)
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...
Brian McLogan
Tutorial - Dividing complex numbers ex 16, 7/2i
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...
Brian McLogan
Tutorial - Dividing complex numbers ex 18, 7/(8 + i)
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...
Brian McLogan
Tutorial - Dividing complex numbers ex 22, (4 - 3i)/(-1 - 4i)
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...
Brian McLogan
What are complex conjugates
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Khan Academy
Khan Academy: Algebra: Complex Numbers: Complex Numbers (Part 2)
Video shows how to divide complex numbers by using complex conjugates in general terms and then with a specific example. [8:58]
Khan Academy
Khan Academy: Algebra: Complex Numbers: Dividing Complex Numbers
Video shows an example of dividing complex numbers using complex conjugates. [4:58]
Sophia Learning
Sophia: Using Conjugates to Rationalize Denominators
This lesson investigates the use of conjugates to rationalize denominators. Students watch a video tutorial that includes detailed examples.
Khan Academy
Khan Academy: Algebra: Complex Conjugates Example
Video shows how to write the conjugate of a complex number. Also discusses uses of the complex conjugate and shows an example of multiplying complex conjugates. [4:01]