Polynomials

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is $$x^2 − 4x + 7$$. An example in three variables is $$x^3 + 2xyz^2 − yz + 1$$.

Power Series
If we allow the exponents to be negatives, this is typically called a power series. If we allow fractional exponents, these are typically called sums of power functions.

Video References

 * Math History/10
 * Math Foundations/57+
 * Math Foundations/216
 * Linear Algebra/19+