Unit 12: Introduction to Polynomials

This flashcard set covers the vocabulary and foundational concepts of Unit 12 Chapter 1, including polynomial classification, standard form, degrees, coefficients, and like terms.

Monomial

A type of polynomial consisting of exactly one term, such as $p^5$ or $-9x^4$.

Binomial

A type of polynomial consisting of exactly two terms, such as $8x^5 - 16$.

Trinomial

A type of polynomial consisting of three terms, such as $3r^3 + 2 + 8r^5$.

Standard Form

The arrangement of a polynomial's terms in descending order of their degree.

Degree of a Polynomial

The highest degree of any term within the polynomial; for instance, the degree of $-5 - s^5 + 8s^5t^2$ is $7$.

Leading Coefficient

The coefficient of the first term of a polynomial when it is written in standard form.

Constant Term

A numerical term in a polynomial that does not have any variables attached, such as the number $2$ in $3r^3 + 2 + 8r^5$.

Like Terms

Monomials that have the same variables raised to the same powers, such as $-9x^4$ and $10x^4$.

Non-Like Terms

Monomials that are not considered like terms because they have different variables or exponents, such as $x^5$ and $6x^7$ or $-3y$ and $-3y^2$.

Standard Form of $3r^3 + 2 + 8r^5$

$$8r^5 + 3r^3 + 2$$

Leading Coefficient of $3r^3 + 2 + 8r^5$

$$8$$

Standard Form of $-8xy^2 + 14 - 9x^4y^3$

$$-9x^4y^3 - 8xy^2 + 14$$

Degree of $p^5$

$$5$$