This document provides information about adding, subtracting, multiplying, and dividing polynomials. It defines monomials, binomials, and trinomials based on the number of terms. When adding or subtracting polynomials, like terms are combined. To multiply polynomials, the distributive property and FOIL method are used. Homework assignments are provided at the end to practice these skills with various polynomial examples.
2. Polynomials
15x – x3 + 3
Is a polynomial
A polynomial is a monomial or a sum of monomials, each
called a term of the polynomial.
A polynomial can be named by its terms or its degree.
3. • A one term polynomial is called a monomial.
• A monomial is a number, a variable, or the product of a
number and one or more variables with whole number
exponents.
• A two term polynomial is called a binomial.
• A binomial is the sum or difference of two binomials.
• A three term polynomial is called a trinomial.
• A trinomial is the sum or difference of three binomials
• More than three terms is just called a polynomial.
4. Degree of a Polynomial
The degree of a polynomial is the greatest degree of its
terms.
Leading coefficient
2x3 + x2 – 5x + 12
Degree Constant term
When a polynomial is written so that the exponents of a
variable decrease from left to right.
5. Terms and Degrees
Is it a polynomial?
Classify by degree and number of terms.
• 15x – x3 + 3
•9
• 2x2 + x – 5
• 6n4 – 8n
• n-2 – 3
• 7bc3 + 4b4c
