Math Integers

Introduction:

In arithmetic, an integer valued polynomial P (t) is a polynomial taking an integer value P(n) for every integer n. absolutely every polynomial with integer coefficients is integer-valued. There are simple examples to show that the converse is not true: for example the polynomial. I like to share this Polynomial Regression with you all through my article.


t(t + 1)/2

Giving the triangle information takes on integer values whenever t = n is an integer. That is because one out of n and n + 1 must be an even number.

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Integer valued polynomial Explanation:

In this integer valued polynomial express the values are real numbers. For every polynomial are integer coefficients.

Here will explain the indegervalued polynomials in the example

The general formula for the integer valued polynomials is given below use this formula and express the inter even numbers

t (t+1)/2

This formula using to evaluate the real number.

For example t=3 we take to express the equation Answer for this problem.   we sub suite the value in above formula to drive the equations.

The triangle numbers takes on integer values whenever t = n is an integer. That is because one out of n and n + 1 must be an even number.

= 3(3+1)/2

=3(4)/2

=12/2

Answer = 6

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Integer valued polynomial examples:


Example1:

To find the value of the given problem?

If t=6 and find the polynomial

Solution:

The triangle numbers takes on integer values whenever t = n is an integer. That is because one out of n and n + 1 must be an even number.

We use the formula and express the given problem

Formula=t(t+1)/2

=6(6+1)

=6(7)

Answer =42

Each polynomial with numeral coefficients is integer-valued.

Example2:

To find the value of the given problem?

If t=8 and find the polynomial

Solution:

We use the formula and express the given problem

Formula=t(t+1)/2

=8(8+1)

=8(9)

Answer  = 72