A normal polynomial, in algebra, refers to a polynomial in which the coefficients of the highest degree term is equal to one. Synonyms for normal polynomial include regular polynomial, monic polynomial, and normalized polynomial. Regular polynomial is used to describe a polynomial in which all the terms are arranged in decreasing order of exponent, and the highest degree term has a non-zero coefficient. Monic polynomial is another synonym for normal polynomial, which specifies that the highest degree coefficient is one. Finally, normalized polynomial implies the same meaning as a normal polynomial, where normalization refers to the transformation of coefficients into a standard form.