2. Warm-Up
1. (5x2)(–2x3) 2. Simplify: x + 2(x – [3x – 8] + 3)
4. (-3a3n4)(-3an)4
5. It is estimated there are over 3.5 x 106 ants per
acre in the Amazon rain forest which covers about
1 billion acres. Find the total number of ants in
both standard form and scientific notation.

4. Class Notes Section of Notebook

5. Polynomials
Polynomials can be +, - , •, and ÷. Success with polynomials
is determined by applying the correct rule for the given
operation. This will also be the first time that we solve and
graph equations with variable degrees > 1.
Polynomial: from the root poly, meaning many. The 'many' in
this case are terms. Polynomials have many terms.
Remember, terms are separated by a +, a -, or an = sign.
From our last unit, we know that a monomial is a single
term. Polynomials then, are simply a number of monomials
connected by a +, - or = sign.
So,...the rules that determine what is and isn't a
polynomial, we look at the rules for what is and what isn't a
monomial.

6. Polynomial? Yes or No
Classifying Polynomials:
Polynomials can be classified by their number of terms a
Since a polynomial is
and by their highest degree. Classified by terms:
collection of
monomials, these rules
also determine the
criteria for a polynomial.

7. Polynomials
Classifying Polynomials: By Degree

8. Polynomials

9. Polynomials
What a typical polynomial looks like:
Leading
coefficient

10. Polynomials
Simplifying Polynomials:
Like terms have the same exponent to the same degree.

11. Polynomials
Review:

12. Polynomial Basics
Identify the degree of each polynomial, then rewrite in
standard form.
1. 15xµa + 8x´a´ - a³x
2. 5x´y² - 7xµy´ + 13x²yµ
3. 12x³y⁸ + 24x¶y´
4. 16x´y³z²
5. 5x² + 4y¶

13. Polynomial Basics
8x² - 6x³y² + 4yµ

14. Polynomial Basics

15. Polynomials:
Add Polynomials by combining like terms, which are
monomials that have the same variable to the same power.

16. Polynomials:
Subtracting Polynomials

17. Polynomials:
Subtracting Polynomials

18. Class Work: