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.

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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

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)

Adding and subtracting Polynomials

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)

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

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)

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

Multiplying polynomials

1/7 Simplify: t²(t² + 3) t 4 + 3t²

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

3/7 Simplify: 9b²(2b³ + 3b² + b) 18b b 4 + 9b 3

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

Solving Equations with Polynomials

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

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

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

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

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.) 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

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

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))?