1. POLYNOMIALS REVIEW Objectives: Add, Subtract, and Multiply Polynomials

2. Which is equivalent to x 8 ? a. (x 3 )(x 5 ) b. (x 3 ) 5 c. (3x)(5x) d. (x 2 )(x 4 )/x 21 S TANDARDIZED T EST P RACTICE

4. R EVIEW Write an example of the 5 monomial rules. Product Rule Quotient Rule Power to a Power Rule Zero Exponent Rule Negative Exponent Rule. Give the problem to your neighbor to simplify. Check each other’s answers

5. C LASS WORK Monomial Rules

6. P OLYNOMIALS IN S CIENCE Scientist can use algebraic expressions to summarize the possible outcomes In genetic breeding. Certain traits result from the pairing of two genes, one From the female parent and one from the male parent. See the example below.

7. W HAT IS A POLYNOMIAL ? A polynomial is a monomial or sum of monomials Examples: Non Examples:

8. A M I A POLYNOMIAL ?

9. U NDER WHAT CONDITIONS CAN POLYNOMIALS BE ADDED OR SUBTRACTED example 1

10. U NDER WHAT CONDITIONS CAN POLYNOMIALS BE ADDED OR SUBTRACTED example 2

11. N OW YOU TRY. Create 3 of your own practice problems. Each problem has to have an answer with at least 3 different terms. Pass the problems your neighbor to complete. Give them back to be corrected Each pair has to turn in 6 complete problems.

12. Y OU TRY : 1. (3r + s) – (r – s) – (r + 3s) 2. (-12y – 6y 2 ) + (-7y + 6y 2 ) 3. (10x 2 – 3xy + 4y 2 ) – (3x 2 + 5xy) 4. (c 2 – 6cd – 2d 2 ) + (7c 2 – cd + 8d 2 ) 5. (4x 2 – 3y 2 + 5xy) – (8xy + 6x 2 + 3y 2 )

13. Y OU TRY : A NSWERS 1. (3r + s) – (r – s) – (r + 3s) 2. (-12y – 6y 2 ) + (-7y + 6y 2 ) 3. (10x 2 – 3xy + 4y 2 ) – (3x 2 + 5xy) 4. (c 2 – 6cd – 2d 2 ) + (7c 2 – cd + 8d 2 ) 5. (4x 2 – 3y 2 + 5xy) – (8xy + 6x 2 + 3y 2 )

14. W HICH OPERATION ? Addition/subtractionMultiplication

15. O NE PROBLEM … 3 METHODS

18. R OUND ROBIN In groups of three.

19. R OUND ROBIN 1. (3r + s)(r – s) FOIL 2. (-12y – 6y 2 )(-7y + 6y 2 ) Boxes 3. (10x 2 + 4y 2 )(3x 2 + 5) Distribute 4. (c 2 – 2d 2 )(7c 2 – 8d 2 ) FOIL 5. (4x 2 – 3y 2 )(8xy + 6x 2 + 3y 2 ) Boxes 6. (3x 3 – 5x 2 +6x)(x 2 – 7) Distribute

20. R OUND ROBIN - A NSWERS 1. 3r 2 - 2rs – s 2 2. 84y 2 – 30y 3 – 36y 4 3. 30x 4 + 50x 2 + 12x 2 y 2 + 20y 2 4. 7c 4 – 22c 2 d 2 + 16d 4 5. 24x 4 + 32x 3 y – 6x 2 y 2 – 24xy 3 -9y 4 6. 3x 5 – 5x 4 – 15x 3 + 35x 2 – 42x

21. T ICKET OUT THE DOOR 1.a and 1.b