CBSE Class 9 (Maths) - Polynomials - Exercise 2.4

Factor Theorem

1. Let p(x) be a polynomial and a be any real number. If p(a) = 0, then (x–a) is a factor of p(x).

2. If (x–a) is a factor of p(x), then p(a) = 0

EXERCISE 2.4 (NCERT Solution)

Q1: Determine which of the following polynomials has (x + 1) a factor :

(i) x³ + x² + x + 1

(ii) x⁴ + x³ + x² + x + 1

(iii) x⁴ + 3x³ + 3x² + x + 1

(iv) x³ – x² – (2 + √2)x + √2

Answer: If (x+1) is a factor of a polynomial p(x), then p(-1) must be equal to zero.

Plural Nouns With No Singular Form

Nouns never used in Singular form

1. Articles of Dress e.g. Trousers, pants, pyjamas, shorts, clothes, jeans etc.

2. Instruments consisting of two identical parts or forming a pair
    e.g. scissors, spectacles, glasses, pliers etc.

NTSE SAT Quiz-10 (Biology)

NTSE SAT Quiz (Biology)

Q1: Chlorophyll is present in which of the following organism?
(a) Bacteria
(b) Protozoa
(c) Fungi
(d) Algae

CBSE Class 9 - Maths - Polynomials - Exercise 2.3

Remainder Theorem

1. According to Remainder Theorem: Let p(x) be any polynomial and a be any real number. If p(x) is divided by the linear polynomial x - a, then the remainder is p(a).

2. If p(x) is divided by  (x + a), then remainder is p(-a).

3. If p(x) is divided by (ax -b) then remainder is p(b/a).

4. If p(x) is divided by (ax + b), then remainder is p(-b/a).

5. In above cases, -a, b/a and -b/a are the zeros of the divisors x + a, ax-b and ax+b respectively.

Exercise 2.3

CBSE Class 10 - English (Comm.) Workbook - Unit 8 - Comparison

 

(Comparative Advertising: Old classic Surf Lalitaji advertisement)

Comparatives are the life line of Advertisement!

Unit 8 - COMPARISON

A.2 Write your conclusions here (a few based on table given in section A2 in the book)

Adjective	Comparative form	Superlative form
Single syllable adjectives Tall Bright	tall(er) bright(er)	tall(est) brighter(est)
Adjectives of two syllables sim·ple         ha+ppy	simple(r) happi(er) busi(er)	happi(est) busi(est)
Adjectives ending in 'y' happy busy	happi(er) busi(er)	happi(est) busi(est)
Adjectives of more than two syllables beau·ti·ful dan·ger·ous	more beautiful more dangerous	most beautiful most dangerous
Adjectives that do not have regular forms good well	better worse	worst worst

(To understand syllable, refer to a dictionary e.g. http://www.thefreedictionary.com/simple)

CBSE Class 8 - Science - Synthetic Fibres and Plastics - NCERT Solutions #eduvictors

Synthetic Fibres and Plastics

NCERT Chapter Solutions and Q & A

Q1: Explain why some fibres are called synthetic?

Answer: Some fibres are called synthetic because they are not made from natural fibres. Instead, they are made by chemical processing of petrochemicals. Synthetic fibres are made up of very large units called polymers. Some of the synthetic fibres are rayon, nylon and acrylon.

CBSE Class 9 English (Comm.) Workbook - INTEGRATIVE GRAMMAR PRACTICE 1

INTEGRATIVE GRAMMAR PRACTICE 1

1. Study the given notes and complete the paragraph that follows by filling in the blanks.

Mobile phones - emit electromagnetic field - prolonged exposure - research needed - brain illness - cancer memory loss - evidence - likely to cause - health scares - press reports - people worry needlessly.

Think about it. Every time you use a mobile phone, (a) ___________________head to electromagnetic emission. Manufacturers (b) _______________ to prove there is no risk (c)_________. Some evidence, so far suggests that mobile phone emissions (d)______________. These health scares (e)____________________. So, people worry needlessly.

Answer:

CBSE - Class 9 - Maths - CH2 - Polynomials - Exercise 2.2

Carl Friedrich Gauss -
who proved fundamental
theorem of Algebra
(source:wikipedia)

ZEROS (ROOTS) of a POLYNOMIAL

1. A zero of a polynomial p(x) is a number c such that p(c) = 0.
   OR x = c (or x -c = 0 ) is called the root of the polynomial equation p(x).

2. If p(x) = ax + b, a ≠ 0, is a linear polynomial, x = -b/a, is the only zero of p(x), i.e., a linear polynomial has one and only one zero.

3. A zero of a polynomial need not be 0.

4. 0 may be a zero of a polynomial.

5. Every linear polynomial has one and only one zero.

6. A polynomial can have more than one zero.

7. Zeros of the polynomial are also called roots of the polynomial.

MCQs - Science & Technology - Harayana Board Middle School/ NTSE (SAT) Quiz-9/CBSE Class 8

Science & Technology Objective Test -2008 (Haryana Board)/ 

NTSE Sample Quiz-9 (Science) /Class 8 Science

(Good for Class 9 and Class 10  students to brush up their knowledge)

(Total MCQs = 65                                                                                                                              Duration: 1 Hour)

Q1. Some bodies looking like stars, which do not twinkle, are called
(A) Planet
(B) Satellite
(C) Artificial Satellite
(D) Meteorite

Collective Names (Collective Nouns)

Squad of Tourists?

Collective Nouns

Colony of Ants

Congress of Baboons

Herd of Elephants

Pack of Bears

Pad of Paper

Hive of Bees

Swarm of Bees 

Flight of Birds

Flock of Birds