$$f(x)=a_0 + a_1x + a_2x^2 + a_3x^3 + \cdots + a_nx^n,$$ where the $a_i$s are the coefficients.

• $n$: the degree of the polynomial. A polynomial of degree $n$ has $n+1$ coefficients $a_i$.
• $a_0$: the constant term.
• $a_1$: the linear coefficient, or first order coefficient.
• $a_2$: the quadratic coefficient.
• $a_3$: the cubic coefficient.
• $a_n$: the $n$th order coefficient.

• The sum of two polynomials is also a polynomial.