• Jan 4th 2008, 06:45 AM
Peacewanters007
plz tell me a clear difference b\w rational irrrational and polynomial plzzz with examples
• Jan 4th 2008, 06:59 AM
wiz_girl
Quote:

Originally Posted by Peacewanters007
plz tell me a clear difference b\w rational irrrational and polynomial plzzz with examples

Rational numbers can be represented by a/b, where a and b are integers.
$\frac{2}{3}, \frac{99}{1170}$ are examples. If you write it in decimal form, it is either terminating, e.g. 1/2=0.5 or non-terminating but repeating, e.g. 1/3=0.333333....

IRRational numbers, when represented in decimal form is non-terminating and non-repeating. It cannot be represented as a/b for any integers a,b. Examples are $\sqrt{2}, 5\sqrt{3}, \pi$

Polynomials are of the form $a_{0}+a_{1}x^{1}+...+a_{n}x^{n}$ where x are variables or indeterminates and $a_{i}s$ are real numbers and x are natural numbers. For example, $3x^{3} + 2x +7$. Here, $a_{0}=7, a_{1}=2, a_{2}=0, a_{3}=3$.
NOte that the exponents of x should be natural numbers for it to be a polynomial
• Jan 4th 2008, 07:04 AM
colby2152
Quote:

Originally Posted by Peacewanters007
plz tell me a clear difference b\w rational irrrational and polynomial plzzz with examples

A polynomial is an algebraic equation such as: $ax^2+bx+c$

Rational numbers can be expressed as a fraction of integers: $\frac{a}{b}$

Irrational numbers cannot be expressed as a fraction of integers such as: $\pi$ or $e$
• Jan 4th 2008, 11:02 AM
Jhevon
Quote:

Originally Posted by wiz_girl
Rational numbers can be represented by a/b, where a and b are integers.

Quote:

Originally Posted by colby2152
Rational numbers can be expressed as a fraction of integers: $\frac{a}{b}$

for $b \ne 0$ of course. :D

great explanation guys:)
• Jan 4th 2008, 04:36 PM
wiz_girl
Quote:

Originally Posted by Jhevon
for $b \ne 0$ of course. :D

great explanation guys:)

yeah, right... sorry