Download presentation

Presentation is loading. Please wait.

Published byEdmund Nelson Modified over 8 years ago

2
How do I use Special Product Patterns to Multiply Polynomials?

3
Rules for Polynomials Adding When adding polynomials, combine like terms and write answer with degree in descending order. (3x 3 + 2x + 5) + (2x 3 – x +10) = 5x 3 + x +15 Subtracting When subtracting polynomials, distribute the minus sign through the following parenthesis. Then, combine like terms and write answer with degree in descending order. (3x 3 + 2x + 5) - (2x 3 – x +10) (3x 3 + 2x + 5) + (–2x 3 + x – 10) = x 3 + 3x - 5

4
Rules for Polynomials Multiplying When multiplying polynomials, MULTIPLY the coefficients and ADD the exponents. 5x 3 (2x 2 + 3x – 5) = 10x 5 +15x 4 – 25x 3

5
Special Products – Square of Binomials (a + b) 2 = a 2 + 2ab + b 2 Example: (x +3) 2 a b Step 1: Identify a and b (x) 2 + 2(x)(3) + (3) 2 Step 2: Substitute values for a and b x 2 + 6x + 9 Step 3: Simplify

6
Special products – Square of Binomials (a – b) 2 = a 2 – 2ab + b 2 Example: (3x - 2) 2 a b Step 1: Identify a and b (3x) 2 - 2(3x)(2) + (2) 2 Step 2: Substitute values for a and b 9x 2 - 12x + 4 Step 3: Simplify

7
1. (y + 9) 2 2. (3z + 7) 2 3. (2w – 3) 2 4. (10 d – 3c) 2

8
Special Products – Sum and Difference Pattern (a + b)(a – b) = a 2 – b 2 Example: (x + 5)(x – 5) a b Step 1: Identify a and b (x + 5)(x – 5) = x 2 – 5 2 Step 2: Substitute = x 2 – 25 Step 3: Simplify

9
1. (g + 10)(g – 10) 2. (7x + 1)(7x – 1) 3. (2h – 9)(2h + 9) 4. (6y + 3)(6y – 3)

10
Pg. 70 (1-18)

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google