Download presentation

Presentation is loading. Please wait.

1
**5.5 and 5.6 Multiply Polynomials**

2
**To square a binomial, use this pattern:**

(a + b)2 = (a + b)(a + b) = a2 + ab + ab + b2 = a2 + 2ab + b2 square of the first term twice the product of the two terms square of the last term Examples: 1. Multiply: (2x + 2)2 . = (2x)2 + 2(2x)( 2) + (2)2 = 4x2 + 8x + 4 2. Multiply: (x + 3y)2 . = (x)2 + 2(x)(3y) + (3y)2 = x2 + 6xy + 9y2 Square of a Binomial

3
**To square a binomial, use this pattern:**

(a - b)2 = (a - b)(a - b) = a2 - ab - ab + b2 = a2 - 2ab + b2 square of the first term twice the product of the two terms square of the last term Examples: 1. Multiply: (2x – 2)2 . = (2x)2 + 2(2x)(– 2) + (– 2)2 = 4x2 – 8x + 4 2. Multiply: (x - 4y)2 . = (x)2 + 2(x)(4y) + (4y)2 = x2 + 8xy + 16y2 Square of a Binomial

4
**To multiply the sum and difference of two terms, use this pattern:**

(a + b)(a – b) = a2 – ab + ab – b2 = a2 – b2 square of the second term square of the first term Examples: 1. (3x + 2)(3x – 2) 2. (x + 1)(x – 1) = (3x)2 – (2)2 = (x)2 – (1)2 = 9x2 – 4 = x2 – 1 Special Products

5
**Example: The length of a rectangle is (x + 5) ft**

Example: The length of a rectangle is (x + 5) ft. The width is (x – 6) ft. Find the area of the rectangle in terms of the variable x. x – 6 x + 5 A = L · W = Area L = (x + 5) ft W = (x – 6) ft A = (x + 5)(x – 6 ) = x2 – 6x + 5x – 30 = x2 – x – 30 The area is (x2 – x – 30) ft2. Example: Word Problem

Similar presentations

OK

1 linearf (x) = mx + bone f (x) = ax 2 + bx + c, a 0quadratictwo cubicthreef (x) = ax 3 + bx 2 + cx + d, a 0 Degree Function Equation Common polynomial.

1 linearf (x) = mx + bone f (x) = ax 2 + bx + c, a 0quadratictwo cubicthreef (x) = ax 3 + bx 2 + cx + d, a 0 Degree Function Equation Common polynomial.

© 2018 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