1. Tues, 5/15 SWBAT…add, subtract, and multiply polynomials Agenda 1. WU (10 min) 2. Adding & subtracting polynomials (30 min) Warm-Up: 1. What do you need to combine like terms? 2. x + x = 3. x 2 + x 2 = 7. (x)(x) = 4. 3x 3 + 5x 3 = 8. (2x)(-x) = 5. -4x – 3x = 9. (10b)(-6b 2 ) = 6. x – x = 10. (-x)(x 3 ) = HW#5: Adding & Subtracting Polynomials

2. Reminder! x + x = 2x x 2 + x 2 = 2x 2 x 2 – x 2 = 0x 2 = 0 3x 2 + 2x 2 = 5x 2 (when adding or subtracting do not touch the exponents) (x)(x) = x 2 (x 2 )(x 2 ) = x 4 (x 2 )(-x 2 )= -x 4 (3x 2 )(2x 2 ) = 6x 4 (when multiplying add the exponents)

3. Adding and subtracting Polynomials

4. Adding and subtracting polynomials Find each sum or difference and arrange in standard form (highest to lowest exponent) 1. (3x 2 + 5) + (5x 2 + 7) 2. (2x 2 – 4x + 3) + (x 2 – 3x + 1)

5. Adding and subtracting polynomials Find each sum or difference and arrange in standard form: 1. (3x 2 + 5) + (5x 2 + 7) = 8x 2 + 12 2. (2x 2 – 4x + 3) + (x 2 – 3x + 1) = 3x 2 – 7x + 4

6. Adding and subtracting polynomials Find each sum or difference and arrange in standard form: 3.(6c 2 + 5c – 3) – (4c 2 + 4c) 4.(5n 2 – 7) – (2n 2 + n – 3)

7. Adding and subtracting polynomials Find each sum or difference and arrange in standard form: 3. (6c 2 + 5c – 3) – (4c 2 + 4c + 0) = 2c 2 + c – 3 4.(5n 2 + 0n – 7) – (2n 2 + n – 3) = 3n 2 – n – 4

8. Multiplying polynomials

9. 1/7 Simplify: t²(t² + 3) t 4 + 3t²

10. 2/7 Simplify: -x(x 3 – x 2 ) -x 4 + x 3

11. 3/7 Simplify: 9b²(2b³ + 3b² + b) 18b 5 + 27b 4 + 9b 3

12. 4/7 Simplify: 3ab(5a 2 – a – 2) + 2a(b + 1) 15a 3 b – 3a 2 b – 4ab + 2a

13. Solving Equations with Polynomials

14. 5/7 Solve for x: 2(4x – 7) = 5(-2x – 9) – 5 x = -2

15. 6/7 Solve for g: 3g(g – 4) – 2g(g – 7) = g(g + 6) – 28

16. 7/7 9c(c – 11) + 10(5c – 3) = 3c(c + 5) + c(6c – 3) – 30 c = 0

17. 7/7 2k(-3k + 4) + 6(k 2 + 10) = k(4k + 8) – 2k(2k + 5) k = -6

18. Wed, 5/16 SWBAT… multiply two binomials (FOIL) Agenda 1. WU (10 min) 2. White boards activity (30 min) Warm-Up: 1.) Find the difference & arrange in standard form: (4y 4 + 2y 3 – 5y + 7) – (7y 3 + 4y 2 + 10) 2.) Find the product & arrange in standard form: 5n(2n³ + n² + 8) + n(4 – n) 3.) Solve for x: 3(2x – 3) – 1 = -4(2x + 1) + 8 HW#7: Multiplying a Monomial by a Polynomial

19. DUE TODAY: HW#5 and HW#6 and Back of Agenda #1-5 HOMEWORK: Simplifying quiz corrections

20. Extra Credit: Complete on the back of the quiz If f(x) = 4x + 1 and g(x) = x² – 2, what is the value of f(g(x))?