class 9 maths chapter 2 ncert in Hindi | exercise 2.4 | RBSE | prashnavli 2.3 | #class9math
class 9 maths chapter 2 ncert in hindi exercise 2.4 rbse prashnavli 2.4 #class9math @VinayClasses Click here for notes 👇👇👇👇 https://civilcourtpractisetcbhati.blo... Join Telegram to join 👇👇👇👇 https://telegram.me/vinayclassesofficial Click here for the Playlist 👇👇👇 • Playlist There are two types of quantities in algebra: (i) Variable quantities (ii) Constant quantities Constant quantities - quantities whose values are fixed All real numbers like 3, 0.2, 3/5, √2, etc. are constants. Variables - Those quantities whose values are not fixed are called variable quantities. Such quantities are written with lowercase letters of the English alphabet, such as x, y, z, etc. Algebraic Expressions - Expressions formed using variables, constants, and operations are called algebraic expressions, such as 2x + 5, y² - 6x + 7, etc. In algebraic expressions, terms are formed using the (+) and (-) operations, while factors are formed using the (×) and (÷) operations. When a term is factored, the numerical factor obtained is called the coefficient of the remaining term, such as: 3x² + 5xy + 7 Coefficient of x² = 3 Coefficient of xy = 5 Coefficient of constant term = 7 Polynomial - Any algebraic expression with one or more terms is called a polynomial in which the degree of the variable is a whole number, such as: y³ + 3, 3x² + 5xy + 7 A polynomial that does not contain a variable is called a constant polynomial, such as: constant polynomial = 5 The zero of a constant polynomial is called a zero polynomial. If a polynomial contains the variable x, we can express it as P(x), such as: P(x) = x² + 5x - 3 P(y) = y³ + 5y² - y - 3 The exponent of the term containing the highest degree of the variable in a polynomial is called the degree of the polynomial. Polynomials of degree one are called linear polynomials, such as -2x + 3, √2y + 3. Polynomials of degree two are called quadratic polynomials, such as x² - 9, y² + 8y + 15. Polynomials of degree three are called triple polynomials, such as x³ + 2x² + 5x + 3. Zeros of a Polynomial If a real number replaces the variable in a polynomial and the value of the polynomial becomes zero, then that real number is called the zero of the polynomial. For example, 3 and -3 are the two zeroes of P(x) = x² - 9. Remainder Theorem - Let P(x) be a polynomial of degree one or greater. If P(x) is divided by a linear polynomial x - a, the remainder is P(a), where a is a real number. 00:00 intro 00:05 Question 1 08:44 Question 2 15:45 Question 3 21:41 Question 4 37:53 Question 5
