Polynomial Operations and Theorems

polynomial expression consisting of two terms

zero, where $a$ and $b$ are real numbers and $i=\sqrt{-1}$, written in the form:

greatest degree of a term in a polynomial

exponent of the variable of a term in a polynomial in one variable

process of writing a number or algebraic expression as a product

coefficient of the first term of a polynomial written in standard form, which places the term with the highest degree first

terms that have the same variable (or variables) with the same exponents

polynomial expression consisting of one term

function whose rule is a polynomial in one variable, which is a sum or difference of terms of the form $ax^n$, where $a$ is a real number and $n$ is a nonnegative integer

sum or difference of terms of the form $ax^n$, where $a$ is a real number and $n$ is a nonnegative integer

process of long division of polynomials where only the coefficients and constants are recorded. The divisor must be a linear factor with a coefficient of 1.

polynomial expression consisting of three terms

any input value of a function that makes the output of the function equal zero