It's an introduction to polynomials with an explanation of The Remainder Theorem and The Factor Theorem for Class 10 students. It has some questions for the explanation of the concepts
It's an introduction to polynomials with an explanation of The Remainder Theorem and The Factor Theorem for Class 10 students. It has some questions for the explanation of the concepts
I have added to the original presentation in response to one of the comments.... the result of 'x' is correct on slide 7, take a look at the new version of this ppt to clear up any confusion about why...
I have added to the original presentation in response to one of the comments.... the result of 'x' is correct on slide 7, take a look at the new version of this ppt to clear up any confusion about why...
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
3. Simple Multiplying
The Basics:
(11x)(10x + 9)= 110x² + 99x
(11x)(10x + 9)= 110x² + 99x
The first thing that you would do is multiply 11x and 10x. The
answer is 110x² because 11 times 10 is 110 and the first
variable from the first set of brackets gets multiplied by the
other on the next set of brackets, therefore having to multiply
“x” by “x” getting an answer of x². Don’t forget, you must
multiply the 11x by the last term on the binomial which in this
case would be 9.
4. Multiplying Binomials
Binomials:
(2x + 3) (13x – 5)
When multiplying binomials, you use the F.O.I.L method..
F: first (2x + 3) (13x – 5)
O: outer (2x + 3) (13x – 5)
I: inner (2x + 3) (13x – 5)
L: last (2x + 3) (13x – 5)
Multiplying the first terms together, the outer, inner, and the last
terms. Here, we have 2x multiplied by 13x which is 26x². Now,
multiply the outer terms, 2x and -5 which would give you -10x. Next
is the inner terms, 3 and 13x giving a product of 39x. Now, the last
two terms, 3 and -5 giving -15. Now put all your answers together.
You should have 26x² - 10x + 39x -15. From here, you must collect
your like terms and here we only have the -10x and +39x, giving us
a sum of 29x. Your final answer would be 26x² +29x -15.
5. Multiplying Trinomials
Trinomials:
(x + 3)(x² + 2x + 4) Once you finish multiplying
Multiplying a trinomial is similar everything with the first term on
to multiplying binomial. You the binomial, you multiply with
must multiply every term from the second term from the
the binomial by every term from binomial. Now do the same
the trinomial. So first you would process to get your needed
multiply the first terms together. answers.
(x + 3)(x² + 2x + 4)= x³. (x + 3)(x² + 2x + 4)=3x²
Multiply the next term, which is x Multiply the next term 3 and 2x.
and 2x. (x + 3)(x² + 2x + 4)= 6x
(x + 3)(x² + 2x + 4)=2x². Now multiply the last term which 3
Multiply the x and the very last and 4.
term of the trinomial, which you (x + 3)(x² + 2x + 4)= 12
would call a constant. Your answer should be :
(x + 3)(x² + 2x + 4)=4x. x³ + 5x² + 10x + 12
6. Substitution
Substitution
..Is the replacement of one thing with another.
Let’s say we are given something like this: x² - 5x + 6
And now we need to find out what it equals to when
we put a number in for “x”… like let “x” equal to 2.
Everywhere you see an “x” stick in a 2.
x² - 5x + 6 -> (2)² - 5(2) + 6.
When it’s solve it should look like this:
4 - 10 + 6 = 0
7. Applying Polynomials in Geometry
Let’s say that the length is 5x + 2 and the width is 2x.
5x + 2
2x
The formula for the area of a rectangle is A = L(W). Now, substitute
the given information onto your formula. Substituted, you should
have 2x(5x + 2). Looks familiar? This is just the multiplying
binomials again. When simplified, you should get 10x² +4x.
