HeyTutor

FREE

Watch Now

This course includes:

  • icon_courses 2 hrs 39 mins of video courses
  • icon_badgeFull lifetime access
  • icon_badgeGo at your own pace
  • icon_badgeCertificate of completion

Stay up to date:

What you'll learn

You will learn about polynomials, complex numbers factoring polynomials, dividing polynomials, graphs of polynomial, rational exponents and radicals, exponential functions, logarithms, trigonometry, and much more.

Requirements

No prior knowledge is required to take this course. An understanding of or taking the algebra 1 course can serve as a refresher before taking this course.
instructor
Best seller

Foundations of Algebra 2

Jun 03 2021 - Video Course (2 hrs 39 mins)

Algebra 2 is a continuation of Algebra 1. It is intended to dive deeper into Algebra. The Algebra 2. The course will be taught through PowerPoint with pre-recorded lectures. This course is helpful for first-year high school and college students and anyone who wants to gain a better understanding of Algebra 2. It included mathematical concepts for working with rational numbers, various expressions, polynomials, complex numbers, dividing polynomials, factoring polynomials, logarithm, and much more.

Created by Hugo Duran

Algebra 2

FREE

Watch Now

This course includes:

  • icon_courses 2 hrs 39 mins of video courses
  • icon_badgeFull lifetime access
  • icon_badgeGo at your own pace
  • icon_badgeCertificate of completion

Stay up to date:

What you'll learn

You will learn about polynomials, complex numbers factoring polynomials, dividing polynomials, graphs of polynomial, rational exponents and radicals, exponential functions, logarithms, trigonometry, and much more.

Requirements

No prior knowledge is required to take this course. An understanding of or taking the algebra 1 course can serve as a refresher before taking this course.

Course Content

11 Units - 22 video lessons
Lesson 1
This is an introductory aspect to Polynomials. Polynomials are algebraic expressions with variables and coefficients. Variables are also known as indeterminates. In this video, you will learn about polynomials, types of names for polynomials, degree, the average rate of change, addition of polynomials, and subtraction of polynomials with work examples.
08:43
Lesson 2
In continuation, you will learn about the multiplication of polynomials. Several methods can be used in multiplying polynomials, but in this course, we will be going over the Rainbow method with work examples. You will also learn about the difference of squares with work examples and perfect squares with work examples.
08:30
Lesson 1
A Complex number is a combination of a Real number and imaginary number, and it is represented in the form a+bi, where a and b are real numbers and i is a symbol called the imaginary unit. When imaginary numbers are squared, it gives a negative result. In this video, you will learn about Complex plane, i and the powers of i, and addition and subtraction of complex numbers with work examples.
06:03
Lesson 2
In this video, you will learn how to write complex numbers with work examples which you will use the same process as we did in multiplying polynomials using the rainbow method. You will also learn how to solve quadratic equations with imaginary solutions with work examples.
09:53
Lesson 1
Factoring polynomial is trying to find out what each term has in common and factor that out. In this video, you will learn about GCF (Greatest Common Factor), which is the greatest factor between terms. To find the GCF between numbers, you can use the cake method, which you will learn in this video. You will also learn binomial factoring with work examples.
07:45
Lesson 2
In this video, we will start with trinomial factoring. For example, in trinomial factoring, to factor x2+3x-10 means to think of two numbers that when added, will give you a value of 3 and when multiplied, will give you a value of -10. You will learn how to use the same method when factoring binomials and trinomials in polynomial factoring with work examples. You will also learn about perfect square trinomial with work examples and difference of squares.
09:17
Lesson 3
We have already covered the difference of squares and perfect square trinomial. In this video, we will be starting with identifying identities. We will go over the sum of cubes and the difference of cubes with examples. You will learn about completing the square and quadratic formula, which are the operations you will use when you have a quadratic equation.
06:10
Lesson 1
In this lesson, we are going to go over dividing polynomials with work examples. In this video, you will learn how to divide polynomials, long divide polynomials, and divide equations that will have remainders.
07:40
Lesson 2
When dividing with synthetic division, first set divisor equal to zero and solve. In this lesson, you will learn how to divide using synthetic division. You will also learn with work examples the Polynomial Remainder Theorem – when a given polynomial P(x) is divided by (x-b), then the remainder is P(b).
05:45
Lesson 1
In this lesson, we will go over graphs of polynomials. Given a polynomial function P(x), then d is zero if and only if P(d) – 0. Zero is also called “root”. In this lesson, we will first discuss zeros of polynomials with examples, positive and negative intervals, the multiplicity of zeros – how many times the number shows up, odd multiplicity, and even multiplicity.
08:23
Lesson 1
In this lesson, we will start with rational exponents and radicals. You will learn how to rewrite radical in exponential form, rewrite exponent in radical form, and solve exponent with rational solution with work examples.
07:01
Lesson 2
We will continue from where we stopped in the last lesson. In this lesson, you will learn about the quotient of powers, missed radical and exponential expression, fractional exponents, negative fractional exponents, and solving using exponential properties with work examples.
10:22
Lesson 1
In this lesson, we will go over exponential functions. Exponential functions grow exponentially compared to linear functions, which grow linearly. An exponential function is of the form f(x) = bxacx where a,b, and c are real numbers, a is a non-zero number that cannot equal 1, and b cannot equal 0. We will also cover half-life with examples.
04:22
Lesson 1
In this lesson, we will go over Logarithms. The definition of logarithm is logbx=y; by=x where b=base, y= exponent, and x= result of b to the “y” power. You will learn how to evaluate logs, the relationship between log and exponentials on a graph, rewriting logs in exponential form, and rewriting exponents in logarithmic form.
03:37
Lesson 2
In this lesson, we will talk about e and Natural Logarithms. Natural Logarithm ln is loge (log base e). You will learn about log properties that you should know, simplifying using log properties, expanding using log properties. You will also learn how to solve a bacteria problem.
07:53
Lesson 1
In this lesson on transformation of functions, we will start with families of functions. You will learn and see how linear, quadratic and cubic, absolute, rational, trigonometric graphs look like. You will also learn about shifting functions vertically and horizontally.
06:01
Lesson 2
In this lesson, you will learn about reflecting exponential functions over the x-axis and y-axis, function stretch and compression, horizontal stretch and compression, stretching quadratic equation, and more.
07:03
Lesson 3
In this lesson, we will finish up this section. We will start with stretching functions, then vertical stretch, and vertical compression. We will also talk about even and odd functions, even example, not even example, odd example, and not odd example.
09:43
Lesson 1
In this section, we will talk about trigonometry. We will start with unit circle. Next, we will talk about trig functions (sin, cos, tan), radians and degrees, converting degrees and radians, and Pythagorean Theorem using trigonometry function.
05:27
Lesson 2
In this lesson, we will start with trig functions graph for cos(x), sin(x) and tan (x). Then we will talk about the trig function features with graphs.
04:18
Lesson 1
In this lesson, we will start with rational functions. Then we will talk about simplifying rational expressions, discontinuities with examples.
08:18
Lesson 2
In this lesson, we will talk about multiplying or dividing rational expressions with examples and adding or subtracting rational expressions with examples. With this, we have come to the end of this course. Thank you for taking the time to complete this course.
07:30

About Instructor

instructor

Hugo Duran

Mathematician

I'm a 3rd year Mechanical Engineering Student at California State University, Long Beach. I am interested in Algebra and how things work; I want to know the 'why' of things that interest me. I believe in growing the whole person through exercise, diet, connections, life, servitude, work, and passion.

0 Reviews 0 Students 2 Courses

More Courses by Hugo Duran

Foundations of Algebra 1
Foundations of Algebra 1
Free
Hugo Duran Learn More

You might also like

View All
Fundamentals of Chemistry Concepts
Fundamentals of Chemistry Concepts
Free
Harminder Gill Learn More
Comprehensive Biology Class For All Levels
Comprehensive Biology Class For All Levels
Free
Deblina Mukherjee Learn More
Middle Level ISEE Exam Strategy
Middle Level ISEE Exam Strategy
Free
Mark Gothard Learn More
Leadership Skills That Translate to The Workplace
Leadership Skills That Translate to The Workplace
Free
Matthew Blackwood Learn More
Fun Introduction to Conversational Spanish
Fun Introduction to Conversational Spanish
Free
Valeria Vazquez Learn More
Pastel Pencil Drawing: Learn to Draw a Badger
Pastel Pencil Drawing: Learn to Draw a Badger
Free
Colin Bradley School of Art Learn More
Screenwriting 101
Screenwriting 101
Free
Koji Steven Sakai Learn More
Pastel Pencil Drawing: Learn to Draw a Barn Owl
Pastel Pencil Drawing: Learn to Draw a Barn Owl
Free
Colin Bradley School of Art Learn More
Pastel Pencil Drawing: Learn to Draw a Tiger
Pastel Pencil Drawing: Learn to Draw a Tiger
Free
Colin Bradley School of Art Learn More
Cultivating Healthy and Stress-Free Study Skills Using Buddhist Practices
Cultivating Healthy and Stress-Free Study Skills Using Buddhist Practices
Free
Vanessa Wang Learn More