POLYNOMIAL CLASS X MODULE 1
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This document covers the basics of algebraic expressions, including concepts like degree, zeros, multiplication, division, and factorization. It also provides examples of verbal statements transformed into algebraic statements and explains key terms such as polynomials and zeros. The document emphasizes the significance of algebraic expressions in representing general terms using variables.
POLYNOMIAL CLASS X MODULE 1
- 1. MISHAL CHAUHAN STHITPRAGYA SCIENCE CLASSES, GANDHIDHAM CLASS 10 CHAPTER - 2 MODULE – 1
- 2. BASICS OF ALGEBRIC EXPRESSION REVISION OF CONCEPTS DEGREE, ZEROS MULTIPLATION & DIVISION OF EXPRESSIONS FACTORISATION GEOMETRIAL INTERPRETATION OF POLYNOMIALS VERIFICATION OF ZEROS & COEFFICIENTS OF A POLYNOMIAL OBTAINING POLYNOMIAL FROM SUM AND PRODUCT OF ZEROS
- 3. Verbal statement Algebraic statement 1. A number increased by 2 gives 8 a + 2 = 8 2. The product of two successive natural numbers is 30 y × (y + 1) = 30 3. A number, when multiplied by itself and added to 5 gives 9 c × c + 5 = 9
- 4. In algebra we put it as: the cost of one chair in rupees is x. Thus x stands for a number. Similarly, a, b, c, x, y etc. can stand for number of tables, monkeys, cows, trees, etc. The use of letters help us to think in more general terms. An algebraic expression is a combination of numbers, variables and arithmetical operations.
- 5. ‘Poly’ = Many & ‘Nomial’ = Terms
- 10. The sum of the exponents of the variables in a term is called the degree of that term.
- 11. The sum of the exponents of the variables in a term is called the degree of that term.
- 12. The sum of the exponents of the variables in a term is called the degree of that term. Recall: The degree of a zero polynomial is not defined. IMPORTANT
- 13. The value of the variable for which the value of a polynomial in one variable is zero is called zero of the polynomial.
- 28. 1 2 3 4 5 6
- 45. TYPE DEGREE NUMBER OF REAL ZEROS/ SOLUTIONS IN R CUTS X - AXIS HOW MANY TIMES? LINEAR 1 1 1 QUADRATIC 2 2 2 CUBIC 3 3 3
- 46. TYPE DEGREE NUMBER OF REAL ZEROS/ SOLUTIONS IN R CUTS X - AXIS HOW MANY TIMES? LINEAR 1 1 1 QUADRATIC 2 2 2 CUBIC 3 3 3
- 49. AS BOTH ZEROS ARE EQUAL Example: X2+10x+25