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

2. HOMEWORK Q’s

3. HOMEWORK Q’s

4. 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.

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

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

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

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

9. 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

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

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