1. Let’s Begin!!! 

2. Let’s Review Functions
Daily Questions…….
How do I name polynomials?
How do I add and subtract polynomials?
How do I multiply polynomials?

3. POLYNOMIAL Function:
A polynomial is the monomial or the sum of monomials with all exponents as whole numbers and coefficients are all real numbers.
Ex-
x3+6x2+12x+8

4. Is it a polynomial?
YES a) NO b) NO c)
YES d)

5. The terms of a polynomial are in STANDARD FORM when:
they are ordered from left to right in ______________ order; which means from the ____________ exponent to the ____________
decreasing
largest
smallest

6. DEGREE:
The _________exponent in the polynomial. It determines the _____________________.
largest
Number of Zeros
Ex: The degree of –7x + 9 – 4x2 is ____. 2
Classifying: x0 x1 x2 x3 x4
0 – Constant 2 – Quadratic Quartic
1 – Linear 3 – Cubic

7. The ______________once in _________________.
LEADING COEFFICIENT:
The ______________once in _________________.
first coefficient
standard form
CONSTANT:
The term _________________ a variable.
without

8. STANDARD FORM a.
Standard Form:
Leading Coefficient:
Degree (number and name):
Constant: b.
Leading Coefficient:
Standard Form:
Constant:
Degree:

9. B. Their _________ of terms C. Look at the chart for an explanation.
Some polynomials have SPECIAL NAMES that are determined by the following:
A. Their _________ or
B. Their _________ of terms
C. Look at the chart for an explanation.
degree
number

10. Polynomial Name by # of Terms DEGREE Name by Degree12 8x
4x2 + 3
5x3 + x2
3x2 – 4x + 6
7t4 – 7t + 3 1
Monomial
Constant 1
Monomial 1
Linear
Binomial
Quadratic 2 2 2
Binomial 3
Cubic 3
Trinomial 2
Quadratic 3
Trinomial 4
Quartic

11. Adding and Subtracting Polynomials
Combine like terms!
SUBTRACTING:
Distribute the negative

12. Ex. 1

13. Ex. 2

14. Multiplying Polynomials
Distribute every term.
Remember: 2 Binomials Make a Trinomial!

15. Ex. 1

16. Ex. 2

17. Ex. 3

18. Textbook – Page 333 #15-26 all Page 341 #13-51 odd
Homework
Textbook – Page 333 #15-26 all Page 341 #13-51 odd