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Brian McLogan
Subtracting complex numbers
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...
Brian McLogan
How to simplify roots with imaginary numbers and simplify complex numbers
π 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...
Brian McLogan
Algebra 2 - Learn how to multiply two complex numbers in using the box method, (3 - 2i)(1 + 3i)
In this video playlist you will learn everything you need to know with complex and imaginary numbers (3 - 2i)(1 + 3i)
Brian McLogan
Learn how to solve a word problem by using factoring a quadratic
πLearn 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...
Brian McLogan
Label the zeros, multiplicity, and determine degree and LC from a graph
π 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...
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
Determine the number of positive, negative and complex roots of a polynomial
π 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...
Brian McLogan
How to write the quotient of complex numbers in standard form
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
Algebra 2 - Math tutorial for subtracting complex numbers, (-2 - 3i) - (-3 - 7i)
In this video playlist you will learn everything you need to know with complex and imaginary numbers (-2 - 3i) - (-3 - 7i)
Brian McLogan
Algebra 2 - Learn how to divide an imaginary number by a complex number by rationalizing denominator
In this video playlist you will learn everything you need to know with complex and imaginary numbers i/(4-i)
Brian McLogan
Algebra 2 - Simplifying a complex number by multiplying by i on the top and bottom, 5/i
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...
Curated Video
Simplifying Square Roots of Negative Numbers with Imaginary Unit i
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...
Brian McLogan
Learn to find the solutions of a quadratic by applying the quadratic formula
π 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...
Brian McLogan
Pre-Calculus - Adding rational expressions with and imaginary conjugates 2i/(2+i) + 5/(2-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...
Brian McLogan
Given two real zeros & one complex, write the equation of the polynomial
π 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...
Brian McLogan
Algebra 2 - Learn how to multiply two complex numbers and write in standard form
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...
Brian McLogan
Algebra 2 - Learn how to simplify the quotient of imaginary numbers, 2/3i
In this video playlist you will learn everything you need to know with complex and imaginary numbers 2/3i
Brian McLogan
How to use zero product property to solve a quadratic in factored form
πLearn 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...
Brian McLogan
Algebra 2 Add two complex numbers by rewriting the expression using i, (-5+sqrt(-4))+( -sqrt(-16))
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...
Brian McLogan
Algebra 2 - Simplifying square roots with imaginary numbers, x^2 + 1 = 0
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...
Brian McLogan
Algebra 2 - Simplifying square roots to prepare for imaginary numbers, root(9), root(20)
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...
Brian McLogan
Algebra 2 - Subtraction two rational expressions with complex numbers, ((1 + i)/i) - (3/(4 - i))
In this video playlist you will learn everything you need to know with complex and imaginary numbers ((1 + i)/i) - (3/(4 - i))
Brian McLogan
Algebra 2 - Where does the imaginary unit i come from, y = x^2 + 4
In this video playlist you will learn everything you need to know with complex and imaginary numbers y = x^2 + 4