The document discusses polynomials in mathematics. It defines a polynomial as an expression involving variables, coefficients, and the operations of addition, subtraction, multiplication, and exponents. Examples of polynomials include quadratic polynomials like x^2 - 4x + 7. The document also discusses determining the roots of polynomials, the history of polynomial notation, and educational uses of polynomials for teaching concepts like division and multiplication.

2.  In mathematics, a polynomial is
an expression consisting
of variables and coefficients, that
involves only the operations
of addition, subtraction, multiplicatio
n, and non-negative integer
exponents.

3. EXAMPLE
 An example of a polynomial of a single
indeterminate (or variable), x, is x2 −
4x + 7, which is a quadratic
polynomial.

4.  Determining the roots of polynomials,
or "solving algebraic equations", is
among the oldest problems in
mathematics.
 The elegant and practical notation we
use today only developed beginning in
the 15th century.
 Before that, equations were written out
in words

5.  For example, an algebra problem
from the Chinese Arithmetic in Nine
Sections, circa 200 BCE, begins
"Three sheaf's of good crop, two
sheaf's of mediocre crop, and one
sheaf of bad crop are sold for 29
rupee.
 " We would write 3x + 2y + z = 29.

7. S.NO Name of Polynomial Polynomial of Degree
1) LINEAR One
2) QUATRATIC Two
3) CUBIC Three
4) BI-QUATRATIC Four

8.  SUM OF ZEROES i.e., ALPHA+BETA =
-B/A i.e., co-efficient of x/co-efficient of
 PRODUCT OF ZEROES i.e., ALPHA X
BETA=
C/A i.e., co-efficient of constant/
co-efficient of

9. DIVISION ALGORITHM
 THE FORMULA FOR DIVISOR IS
DIVIDEND INTO QUOTIENT
+REMAINDER.
 P(x) = G(x) X Q(x) + R(x)
DIVIDEND
QUOTIENT
REMAINDER
DIVISOR

12.  Polynomial of degree 4:
f(x) = 1/14 (x + 4)(x + 1)(x − 1)(x − 3)
+ 0.5

13. EDUCATIONAL USE
 We can divide polynomials.
 We can multiply polynomials.
 We can graph the polynomials.
 We can even change the word
problem into expression to solve it.
 We can learn beyond the numbers
using it.
 Even though all these are difficult it
will increase thinking skill of children.

14. DIVISION

15. MULTIPLICATION

16. EXPRESSION