1. 3x + 6x2 – 10 + 9x2 + 2x 5x2y + 3xy – 8x2y + 6xy (2x2)(-4x3) 2(x + 4)
12/2/ Challenge
3x + 6x2 – x2 + 2x
5x2y + 3xy – 8x2y + 6xy
(2x2)(-4x3)
2(x + 4)
7(12 + 3x) – 10
15x2 + 5x - 10
-3x2y + 9xy
3x2
-8x5
2x + 8
21x + 74

2. Classifying Polynomials
Objective: To classify polynomials by degree and by number of terms
Example of a Polynomial
Degrees
Constant
Coefficients

3. Vocabulary Degree: is the exponent for each variable.
Degree of the polynomial: is the largest exponent of the polynomial.
Leading coefficient: is the coefficient of the first term.
Descending order/Standard form is how polynomials are written where the terms are placed in descending order from largest degree to smallest.

4. Example: Write the polynomials in Standard form/descending order
Example: Write the polynomials in Standard form/descending order. Then identify the leading coefficient and degree of the polynomial. 1.
Degree is 7
Leading coefficient is 3 2.
Degree is 4
leading coefficient is –2

5. Classifying Polynomials By Degree Degree Example
Constant 6 -3
Linear 1
3x + 4
-7x + 2
Quadratic 2
Cubic 3
Quartic 4

6. Classifying polynomials By # of terms # of terms Example
Monomial 1 3x
Binomial 2
3x + 1
Trinomial 3
Note: Any polynomials with four or more terms are just called polynomials

7. Adding and Subtracting Polynomials

8. Adding
Drop the parentheses and combine like terms.

9. Practice

10. Subtracting
Distribute the negative to all terms in the 2nd parenthesis. This will change all of the signs of each term. Then, combine like terms.

11. Practice

12. Multiplying Polynomials Monomial x Polynomial

13. (5)(x + 6)

14. (x2)(x + 6)

15. (-2x)(x2 – 4x + 2)

16. Multiplying Polynomials Binomial x Binomial or Trinomial

17. Multiplying Polynomials
Using the distributive property

18. Multiplying Polynomials
F - First
O - Outside
I – Inside
L - Last
(z + 5) (z + 3)

19. (x - 2) (x + 4)

20. (x + 9) (x – 3)

21. (x + 3) (x – 3)

22. (2x + 5)(x + 6)

23. (3x – 1)(2x – 4)

24. (5b – 6)(3b2 – 2b + 5) This is NOT FOIL!

25. Find the area of the rectangle.

26. Find the area of the rectangle.

27. Find the volume.

28. Practice Worksheet