$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$\newcommand{\inner}[2]{\langle #1, #2 \rangle}$$ $$\newcommand{\Span}{\mathrm{span}}$$
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
 Algebraic expression A collection of variables and real numbers organized in some manner through the use of additions, subtractions, multiplication, divisions or radicals. Monomial An algebraic expression which does not involve addition or subtraction. (An algebraic expression which has one term only) Term A monomial together with the sign which precedes it. A term involves products and quotients of variables only. Polynomial in $$x$$ An expression of the form $$a_0+a_1x + \dots + a_nx^n$$ where $$x$$ is a variable and $$a_0, a_1, \dots, a_n$$ are all real numbers so-called constants. $$n$$ is a non-negative integer. Rational expression A quotient of polynomial expressions Degree of a  polynomial The highest exponent of the variable(s) which occur Cubic Polynomial A polynomial of degree $$3$$. Quadratic polynomial A polynomial of degree $$2$$. Linear polynomial A polynomial of degree $$1$$