1. Adding and Subtracting Polynomials
© Michael Swaner

2. Notes
A monomial is an expression that is a number, a variable, or a product of a number and one or more variables. Really it boils down to an expression that stands alone as one term
Ex. 12 x

3. Notes
A Binomial is the sum or difference of two monomials. Really it boils down to having two terms.
Ex.

4. Notes
As you can probably guess, a trinomial is the sum or difference of ______________ monomials
Any sum or difference with more than 3 terms is simply called a polynomial 3

5. Notes The degree of a monomial is the sum of the exponents
x = degree of 1
= degree of 1
= degree of 3
= degree of 27

6. Notes
Standard form of a polynomial is when the degrees decrease from left to right.

7. Notes
When classifying polynomials, you must put the polynomials in standard form.
linear
quadratic
cubic

8. Notes
Any polynomial with a degree larger than 3 is named by its highest degree:
5th degree polynomial
6th degree polynomial
15th degree polynomial

9. Adding Polynomials-horizontally
When adding polynomials horizontally, combine like terms.

10. Try This One

11. Subtracting Polynomials-Horizontally
When subtracting polynomials horizontally you must first distribute the negative to all terms

12. Go For It

13. Adding Polynomials-Vertically
Line up like terms by “place value”

14. What if a Place Value is Missing?
All that means is

15. Try it This Way

16. Subtracting Polynomials-Vertically
Line up like terms by “place value”

17. Try

18. Closure decrease highest degree What is the degree?
Standard form of a polynomial is when the degrees _____________ from left to right.
Any polynomial with a degree larger than 3 is named by its ______ _______
decrease
highest
degree

19. Closure combine negative all
When adding or subtracting polynomials horizontally ___________ like terms.
When subtracting polynomials horizontally you must distribute the ___________ to _________ terms.
combine
negative
all

20. Closure
When adding or subtracting polynomials vertically, __________ __________ like terms.
If a place value is missing, it really means ___________
line up
zero