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Polynomial

The sum or difference of terms which have variables raised to positive integer powers and which have coefficients that may be real or complex.

The following are all polynomials: 5x3 2x2 + x 13, x2y3 + xy, and (1 + i)a2 + ib2.

Note: Even though the prefix poly- means many, we use the word polynomial to refer to polynomials with 1 term (monomials), 2 terms (binomials), 3 terms, (trinomials), etc.

 

Standard form for a polynomial in one variable:

anxn + an1xn1 + ··· + a2x2 + a1x + a0

 

 

See also

Polynomial facts

 


  this page updated 15-jul-23
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
Copyright © 2000 by Bruce Simmons
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