- What is this video about?
This video goes over how Unit F. Concepts 6 &1 0 on how to find the zeroes of a polynomial to the 4th to 5th degrees. There are descriptions of each step which include using the rational roots theorem, Descartes Rule of Signs, using synthetic division to find zero heroes of the polynomial in problem #6 until its a quadratic, and factoring to get the remaining zeroes of the polynomial.
- What does the viewer need to pay special attention to in order to understand the concept?
- Remember that you use synthetic division until your answer row is a quadratic. For this problem, because it is in the 4th degree, you only have to use synthetic division twice CORRECTLY (meaning that the two times you use synthetic division you are left with a Zero Hero!) The video will elaborate more on that.
- Make sure to note that if the polynomial is not factorable then you will have to use the quadratic formula to find the zeroes (which will most likely be imaginary/complex numbers). However for this problem in particular, it is factorable but if you don't like using the grouping method, you could use the quadratic formula if you wanted to.
Unit H. Concept7
- What is this video about?
- This video goes over how to find logs with given approximations/clues.
- What does the viewer need to pay special attention to in order to understand the concept?
- Remember the properties of expanding logs. [* Product Law: you break the logs apart and add them separately. *Quotient Law: You separate the terms of the log by subtracting them. * Power Law: you bring the power that is raised to the front of the log.] Also, note that if the base is the same as the answer, the exponent is 1 ---> logbb=1
Unit S. Concept 3. #5
- What is this video about?
This trigonometric video lesson goes over how to solve problems by using the power-reducing formulas.
- What does the viewer need to pay special attention to in order to understand the concept?
Please understand that we substitute the power-reducing formula to the entire given trig function, not just the (x). Moreover, note that for your final answer, you want the highest power to be 1.
***DISCLAIMER: These problems look a lot scarier than they are. With practice, they become super fast, easy, and even fun! :D
Unit S. Concept 7. #5
- What is this video about?
This video goes over how to solve equations with half angles. With it, we incorporate the use of the half angle formulas. Moreover, this trigonometric concept allows us to further explore the utilization of the Unit Circle.
- What does the viewer need to pay special attention to in order to understand the concept?
You must be able to incorporate your knowledge from past units as well, not just simply Unit S. For example, in this particular problem I was able to identify that I would need to use the Pythagorean Identity for sin^2(x). For these problems as well as this unit, you need to able to focus on what you need to do in order to solve. If that means digging through your brain for formula or proofs from past units, than so be it.
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