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

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