UNIT 2

Reflections

Unit Test Reflection

In all honesty, I believe that I genuinly did quite bad on this test. First of all, I'm not that great at Algebra and I couldn't review so much for this specific test since I was sick the night before, therefore I got a low score which made me quite sad. I knew that if I wasn't sick and if I tried harder to review the days before the test I would have gotten a much more higher, satisfying score. But, although I didn't do well, that doesn't mean that I didn't learn anything or wanted to improve from this experience. After this test, I promise to try harder when it comes to tests and that although I got a low score, I'm grad I got to open a new door to Math and furthermore learn in depth on this topic of Algebra; and I'm glad that my other scores such as homework, classwork, and projects will rise this score a bit higher for me. In order to become better and understand what to focus to improve on in the future, I will list the type of questions I got wrong in the test and fix it:

Factorizing, changing polynomials, binomials to specific forms: I still have not fully grasped how to factorize FULLY and I'm not quite sure how to change them to specific forms.

Long Division and Synthetic Division: There were two division questions on the test where I both got wrong due to my lack of reviewing and that I got confused.

Semester Test Reflection

Overall, this Semester Test also upsetted me in many ways (getting a low score - 60%), but at least it turned out a bit better than my Unit Test. The Semester Test was had a combination of topics of Probability and Algebra, and because I am a bit better at Probability, it pulled my score up a bit more. The hardest part for me in this test was definetly Algebra, as it felt quite confusing to me on how we had to use so much knowledge and use such in depths understandings of this Unit. What I mostly got all correct in the test were the Division questions, finding quotient and remainder, and law of exponents. On the contrary, everything else on the test I got wrong. In my opinion, the test was worded a bit weirdly and it made me confused a bit, especially when it came to probability questions, I got confused and got some answers wrong. This result was quite underwhelming to me but it gave me a push, a sudden burst of motivation and dedication to try even harder and strive for the better in the future Semester Test along with other works and assigments. In order to become better and understand what to focus to improve on in the future, I will list the type of questions I got wrong in the test and fix it:

Mutually Exclusive, Inclusive Events: I did not read the question carefully as I did not have enough time and ended up understanding the question wrong therefore getting the answer wrong as well.
Factorizing, changing polynomials, binomials to specific forms: I still have not fully grasped how to factorize FULLY and I'm not quite sure how to change them to specific forms.
Graph of Polynomials: In the test I half-way forgot how to find the equation to the graph, therefore I got hald the answer wrong.

TOPICS LEARNT IN THIS UNIT

Long Division

Long division of polynomials is the process of dividing one polynomial with another. Division can be done among the different types of polynomials.

Synthetic Division

The Synthetic division is a shortcut way of polynomial division, especially if we need to divide it by a linear factor.

Law of Exponents

All the rules of exponents are used to solve many mathematical problems which involve repeated multiplication processes. The laws of exponents simplify the multiplication and division operations and help to solve the problems easily. In this article, we are going to discuss the six important laws of exponents with many solved examples.

Operations of Polynomials

So, when you subtract or add a polynomial that has more than one variable, you have to make sure that you combine the like terms only. On the other hand, when you have to divide and multiply, you’ll have to pay specific attention to the multiple terms and variables. You cannot add and subtract, if the terms are not alike. However, in multiplication and division is possible even if the terms aren’t alike.

Factorizing (Factorizing & Completing the square)

We can define factoring as finding the terms that are multiplied together to get an expression. Some quadratic equations cannot be readily factored and aren't given in a format that allows us to use the square root property immediately. However, we can use a technique called "completing the square" to rewrite the quadratic expression as a perfect square trinomial. We can then factor the trinomial and solve the equation using the square root property.

Finding Quotient & Remainder

Divide the first term of the dividend by the highest term of the divisor (meaning the one with the highest power of x, which in this case is x). ...
Multiply the divisor by the result just obtained (the first term of the eventual quotient).

Remainder & Factor Theorems

The factor theorem is a special case of the remainder theorem. The remainder theorem can be used to find the remainder without performing a full polynomial division. It can also be used to find unknown coefficients in polynomials.

Contact me at parveen.jahangir.18228@wellspringsaigon.edu.vn

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