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Polynomials


A polynomial is an expression, consisting, of the algebraic sum of two or more monomials, like this:
AnXn + An-1Xn-1 + ...A1X + A0.
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: 3x2;
Polimonial:a expression like this: x4 + 3x3 -x2 + 6 ;
The greater degree of variable defines the degree of a polynomial.
Example:
For a polynomial of 4 terms like this,2x5 + 3x3 -x2 + 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 3x2 -xy3 + 6 ; the degree is 1 + 3 = 4 (the Sum of the exponents of high-grade element).
Example 2:
For the polynomial 3x3 -xy2 + xy4 + 3; the degree is 5.
If the polynomial is written in descending order it is in standard form, like this:
2x4 + 3x3 -x2 +x + 5.
How to evaluate a polynomial.

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