Explain Prime Number

Let us study about prime number,

A prime number is a whole number greater than 1, whose only two whole-number factors are 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. As we proceed in the set of natural numbers N = {1, 2, 3, ...}, the primes become less and less frequent in general. However, there is no largest prime number. For every prime number p, there exists a prime number p' such that p' is greater than p. This was demonstrated in ancient times by the Greek mathematician Euclid.

I hope the above explanation was useful, now let us study Steps to divide fractions.

Explain Exponential rules

Let us study about Exponential rules,

Introduction to exponential algebra rules:

Exponential algebra rules is nothing but, it is used solve the exponents problems in algebra. Exponent of an integer that is shows you how many times the number is to be used in a multiplication. Exponent is shown as a small number to the right and over the base number. In this example: m2 = m × m (some another name for exponent is power or index). In this topic, we see about exponential algebra rules.

I hope the above explanation was useful, now let me explain about laws of logarithms.

Factor Theorem

Factor Theorem:

If p(x) is a polynomial x is divided by (x-a) and the remainder f (a) is equal to zero then (x-a) is an factor of p(x). We can factorize polynomial expressions of degree three or more using factor theorem and synthetic division. Let us see proof of Factor Theorem.Before we can prove the factor theorem I would like to mention about one of the important topics under this category that is trinomial factor calculator. us now move on to find the Proof of Factor Theorem

P(x) is divided by x-a,

Using remainder theorem,

R = p (a)

P(x) = (x-a).q(x) + p(a)

But p (a) = 0 is given.

Hence p(x) = (x-a).q(x)

(x-a) is the factor of p(x)

Conversely if x-a is a factor of p(x) then p(a)=0.

P(x) = (x-a).q(x) + R

If (x-a) is a factor then the remainder is zero (x-a divides p(x)

Exactly)

R=0

By remainder theorem, R = p (a)

Note:

1. If the sum of all coefficients in a polynomial including the constant term is zero, then x – 1 is a factor.

2. If the sum of the coefficients of the even powers together with the constant term is the same as the sum of the coefficients of odd powers, then x + 1 is a factor.Hope you like the above example of factor theorem.Please leave your comments, if you have any doubts.

Linear Programming Problems

Linear Programming Problems:Let us now learn about linear Programming Problems.The problem of maximizing or minimizing linear constraints from linear function subject is defined as the linear programming problem. These linear constraints may not be equalities.That is it may either be an equality or non equality.Structure of linear programming problem.The linear programming problem generally consists of three components:

* Activities of variables and their relationships.
* Objective functions
* The constraints.We may also come across various topics such as linear programming examples while studying about Linear programming problems.Hope you like the above example of Linear Programming Problems.Please leave your comments, if you have any doubts.

Radius of a Circle

Radius of a Circle:A circle is a round shape of geometry.Circle consisting of the points in a plane which are middle from a given point is called the center.The distance calculated in circle from its center is called Radius of a circle.

The perimeter is the path that surrounded the area. The word comes from the Greek peri and meter means (measure). They term may use either for the path or its length. It can be thought of as the length of the outline of the shape. The perimeter of the circle or circular area is the circumference. This is called as the perimeter of the circle.The units of the perimeter are mm, cm, m, km.Hope you like the above example of Radius of a Circle.Please leave your comments, if you have any doubts.

Factor Polynomial Calculator

Factor Polynomial Calculator:Factor polynomials calculator are used to understand the polynomials factorization. Given expression can be factorized by using the greatest common factor. Let us discuss about the learn factor polynomials calculator.Questions are usually asked about factors of 32.We can solve this question with the help of following the steps of factorization.Steps to Learn Factor Polynomials Calculator:The Steps to learn factor polynomials are as follows:

* Given expression can be arranged in the order of powers.
* Expression can be in the form of standard ax2 + bx + c = 0.
* The expression should be factorized.
* Solve the given terms.Hope you like the above example of Factor Polynomial Calculator.Please leave your comments, if you have any doubts.

Descending order

Let us study about Descending order.

Sometimes we place the numbers in order from highest (biggest) number to lowest (smallest) numbers. Highest to lowest, this type of ordering is called "Descending Order".

"Steep descent" is perfect example for descending order.

These two orders are the important orders in ordering numbers.

Examples problems for Ordering greatest to least:

1. Place the following numbers in greatest to least order.

6, 8, 1, 3, 7, 4, 9, 2

Solution:

Place the numbers ordering from biggest numbers to smallest number.

9, 8, 7, 6, 4, 3, 2, 1

These numbers were form as greatest to least ordering.

I hope the above explanation was useful, now let me explain about prime numbers up to 100.