1) The document introduces concepts related to polynomials including constants, variables, terms, like terms, unlike terms, and different types of polynomials such as monomials, binomials, trinomials, and multinomials.
2) It discusses the degree of polynomials including linear, quadratic, and cubic polynomials. It also covers the value and zeros of polynomials.
3) The document explains important polynomial concepts such as the factor theorem, polynomial identities, and important points about zeros of polynomials.
All the best to all students of class IX...This PPT will makes your difficulties easy to do....You will understand the polynomial chapter easily by seeing this ....Thanks for watching this ..Please Share, Like and Subscribe the PPT
All the best to all students of class IX...This PPT will makes your difficulties easy to do....You will understand the polynomial chapter easily by seeing this ....Thanks for watching this ..Please Share, Like and Subscribe the PPT
This PPT explains the concept of polynomial in detail. It describes the meaning of polynomials with the help of different examples.Furthermore different types of polynomials on the basis of degree and number of terms.This will be helpful for students and for teachers.
This PPT explains the concept of polynomial in detail. It describes the meaning of polynomials with the help of different examples.Furthermore different types of polynomials on the basis of degree and number of terms.This will be helpful for students and for teachers.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
3. Introduction
Constant :-component which never change its
value or magnitude is known as constant for
example all real no. Are always constant as they
never changes its values.
Variable :-component of any term or expression or
equation which varies situation is known as
variable.
Term :-term is an element which is combination of
4 signs , numbers , variable and power or a term
always has 4 things sign + or-
4. Types of terms
Like terms – two or more having
same type of variable and same power
on them are said to be like terms for
example 3x ,-7/2x,8/9x , are like terms.
Unlike terms –terms if they are not
like then they are known as unlike
terms for example 7a , 8b , 19/3c are
unlike terms.
5. What is polynomial ?
An algebraic expression in the form of : 2a2
+3b+5c+6x,…..+…….
Different types of polynomials:-
1.Monomial :-expression have single term.
2.Binomial :- expression have two terms.
3.Trinomial :-expression have three term.
4. Multinoamil :-expression have more than three
terms.
5.Zero polynomial:-number itself is known as
zero polynomial.
6. Degree of a polynomial
1.Linear polynomial :- A polynomial of the form ;ax +
b, a = 0 is known as linear polynomial its degree is
always zero it may be monomial or binomial . It may be
monomial or binomial for example each of polynomial
2x , -3x is a linear polynomial as well as monomial and
linear polynomial.
2. Quadratic polynomial :- an algebraic expression
of type ax2 +bx +c,a is not equal 0 is known as quadraic
polynomial, or we can say that polynomial of degree2 is
known as quadraic polynomial, quadratic polynomial
can be a monomial , binomial or trinomial.
7. 3. cubic polynomials – a polynomial
of the form of ax3+bx2+cx+d , a=0 is
known as cubic polynomial . A cubic
polynomial may be monomial ,
binomial , trinomial , multinomial .
8. VALUE AND ZEROES OF POLYNOMIAL
Value of a polynomial
The value of a polynomial p(x) at x = a is
p(a) . Obtained on replacing x by a .
Zeroes of a polynomial
In general we say that (a) is a zero of
polynomial p(x) at a such that p(a)=0 .
9. Factor theorem
Let p{x} be any polynomial of greater than or equal to 1 and “a”
be any real number , , then
i. {x-a} is a factor of p{x}, if p{a}=0;and
ii. P{a]=0 if {x-a}is a factor of p{x}.
iii. Proof :let p{x} be a polynomial of degree n >1 and “a” be a
real number.
iv. If p {a} =0 {given}
v. Let q{x] be the quotient when p{x} be divided by {x-a}.
vi. By reminder theorem , remainder =p{a}
vii. Polynomial= divisor* quoient +remainder
viii. p{x}={x-a} q{x}+p{a}=p{x}=[x-a]q[x]:p{a}=0 proved
10. IDENTITIES
(a + b)2 = a2 + 2ab + b2
(a – b)2 = a +a2 – 2ab + b2
a2 – b2 = ( b)(a – b)
(x + a)(x + b) = x2 + (a + b)x + ab
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a + b)3 = a3 + b3 + 3ab (a + b)
(a – b)3 = a3 – b3 – 3ab (a – b)
a3 + b3 = (a + b)(a2 – ab + b2)
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)
a3 + b3 + c3 = 3abc , If a + b + c = 0
11. Important points to remember :
A constant polynomial does not has any
zero .
0 may be a zero of a polynomial .
Every linear polynomial has one and only
one zero .
A polynomial can have repeated zeroes .
Number of zeroes of a polynomial cannot
exceed its degree.