Use synthetic substitution to evaluate

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Presentation transcript:

Use synthetic substitution to evaluate WARM UP Use synthetic substitution to evaluate f(x) = 4x4 – x3 + 3x2 + 5x – 3 when x = – 2

HOMEWORK Q’s

HOMEWORK Q’s

Adding/Subtract and Multiplying Polynomials EQ: What are the special product patterns? Assessment: Students will write a summary on how special product patterns apply to polynomials.

Add and Subtract Polynomials Find the sum or difference. 1. (t2 – 6t + 2) + (5t2 – t – 8) 2. (8d – 3 + 9d3) – (d3 – 13d2 – 4)

YOU TRY IT! Add (2x3 – 5x2 + 3x – 9) + (x3 + 6x2 + 11) Subtract (5z2 – z + 3) - (4z2 + 9z – 12)

Multiply Polynomials Find the product. 3. (x + 2)(3x2 – x – 5) 4. (a – 5)(a + 2)(a + 6)

YOU TRY IT Find the product. d. (– 2y2 + 3y – 6) (y – 2) e. (x – 5)(x + 1)(x + 3)

KEY CONCEPTS Special Product Patterns Pattern Example Sum and Difference (a + b)(a – b) = a2 – b2 (x - 4)(x - 4) Square of a Binomial (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 (y + 3)2 (3z2 - 5)2 Cube of a Binomial (a + b)3 = a3 + 3a2 b +3ab2 + b2 (a - b)3 = a2 - 3a2 b + 3ab2 - b2 (x + 2)3 (p – 3)3

YOU TRY IT Find the product. a. (3t + 4)(3t – 4) b. (8x – 3)2 c. (pq + 5)3

HOMEWORK Workbook – Pg. 81-82 # 1-7 (odd),9,12,13,16,17 Write your Summary to the Essential Question