Polynomial

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The graph o a polynomial function o degree 3

In mathematics, a polynomial is an expression consistin o variables, cried indeterminates, an coefficients that involves anly the operations o addeetion, subtraction, multiplication, an positive integer exponents. An example o a polynomial o a single indeterminate (or variable), x, is x2 − 4x + 7, which is a quadratic polynomial.

Polynomials appear in a wide variety o auries o mathematics an science. For example, thay are uised tae furm polynomial equations, which encode a wide range o problems, frae elementary wird problems tae complicated problems in the sciences; thay are uised tae define polynomial functions, which appear in settings rangin frae basic chemistry an pheesics tae economics an social science; thay are uised in calculus an numerical analysis tae approximate ither functions. In advanced mathematics, polynomials are uised tae construct polynomial rings an algebraic varieties, central concepts in algebra an algebraic geometry.