### Polynomials

A polynomial is an expression, consisting, of the algebraic sum of two or more monomials, like
this:

A_{n}X^{n} + A_{n-1}X^{n-1} + ...A_{1}X + A_{0}.

where ** "A"** is the constant; **"X"** is the variable;**"n"** is a non-negative integral
powers and the last element is the independent term.

Monomial is an algebraic expression consisting of a multiplier and one or more variables with non-negative integral powers.

Polimonial elements:

Constants,the multiplier,like this: 0, 1, 2, 3.4, 5.3;

Variables,like this: x, y, z;

Exponents, the non-negative integral powers like this: 0,1,2,3:

Monomial: The term of a polyomial, like this: 3x^{2};

Polimonial:a expression like this: x^{4} + 3x^{3} -x^{2} + 6 ;

The greater degree of variable defines the degree of a polynomial.

Example:

For a polynomial of 4 terms like this,2x^{5} + 3x^{3} -x^{2} +
6, the degree or order is 5.

When the polynomial has more than one variable, the degree is obtained by adding the exponents of the largest element.

Example 1:

For the polynomial 3x^{2} -xy^{3} + 6 ; the degree is 1 + 3 = 4 (the Sum of the exponents of high-grade element).

Example 2:

For the polynomial 3x^{3} -xy^{2} + xy^{4} + 3; the degree is 5.

If the polynomial is written in descending order it is in standard form, like this:

2x^{4} + 3x^{3} -x^{2} +x + 5.

How to **evaluate a polynomial.**

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