Download presentation

Presentation is loading. Please wait.

1
**Multiplying Binomials**

Mentally

2
**The Distributive Property**

(x + 5)(2x + 6) (x+5) 2x + (x+5)6 2x(x+5) +6(x+5) 2x² + 10x + 6x + 30 2x² + 16x +30 NOTE : Since there are THREE terms this is called a TRINOMIAL

3
**Trinomials Multiplying MOST binomials results in THREE terms**

You can learn to multiply binomials in your head by using a method called F O I L

4
**The FOIL Method (x + 4)(x +2) first terms last terms (x + 4) ( x + 2)**

inner terms outer terms

5
(x + 4) ( x + 2) Now write the products x² x x first outer inner last terms terms terms terms

6
**To Multiply any two binomials and write the result as a TRINOMIAL follow these steps**

multiply the first two terms multiply the two outer terms multiply the two inner terms multiply the last two terms

7
**Special Cases There are several special cases of multiplying binomials**

Difference of Squares Perfect Square Trinomials

8
**Difference of two squares**

When you multiply the sum of two terms and the difference of two terms you get a BINOMIAL (a + b) (a – b) = a² - b² This binomial is the difference of two squares

9
**A Closer Look (k – 4) (k + 4) Using FOIL k ² + 4k - 4k - 16 k ² - 16**

(6c – 3) ( 6c + 3) 36c² +18c – 18c – 9

10
Squaring A Binomial When you square any binomial(that is multiply it by itself) you get a TRINOMIAL (x+9)² means (x+9)(x+9) Using FOIL x² + 9x + 9x + 81 x² + 18x +81 This is called a PERFECT SQUARE TRINOMIAL

11
**REMEMBER: The square of a binomial is the sum of three things:**

The square of the first term Twice the product of the terms The square of its last term

12
**Perfect Square Trinomials**

(3x – 6 )² = (3x - 6) (3x – 6) 9x² – 36 x + 36 (2m –4)² = (2m - 4)( 2m – 4) 4m² –16m + 16

13
**An example (6x + 3)² The square of the first term: 36 x²**

Twice the product of the terms 2( 6x • 3) x The square of the last terms (3)(3) +9 36x² x + 9

14
**Perfect Square Trinomial patterns**

(a + b)² = a² + 2ab + b² ( a – b)² = a ² - 2ab + b²

Similar presentations

OK

Objective - To multiply polynomials. Multiply the polynomial by the monomial. 1) 3(x + 4) 2) 3) Distributive Property.

Objective - To multiply polynomials. Multiply the polynomial by the monomial. 1) 3(x + 4) 2) 3) Distributive Property.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Free ppt on smart note taker Incident command post ppt online Ppt on information and communication technology Ppt on arbitration and conciliation act 1996 Ppt on quality education in india Ppt on verbs for class 2 Ppt on transportation in animals for class 10 Ppt on applied operational research notes Ppt on carpooling system Ppt on history of olympics games