1 / 6

Multiplying Polynomials

Multiplying Polynomials. Be able to use different methods to multiply two polynomials. Multiplying Polynomials. To multiply polynomials together each term of the first polynomial must be multiplied by each term of the second polynomial.

jsweat
Download Presentation

Multiplying Polynomials

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Multiplying Polynomials Be able to use different methods to multiply two polynomials.

  2. Multiplying Polynomials • To multiply polynomials together each term of the first polynomial must be multiplied by each term of the second polynomial. • There are several methods for multiplying polynomials. • The three methods we will be using are the box method, using the memory device FOIL, and using the distributive property. Polynomials

  3. The Box Method • The simplest method for multiplying polynomials is to use abox or a chart to fill in. Here is an example: Polynomials

  4. How does FOIL work? • Look at the example below to show FOIL at work: F = multiply the first term in each binomial O = multiply the two outside terms together I = multiply the two inside terms together L = multiply the last term in each binomial (x + 6)(2x +3) · + · + · + · = 2x2 + 3x + 12x + 18 = 2x2 + 15x + 18 6 2x 3 6 2x 3 x x Polynomials

  5. The Distributive Method • The third method is to use the distributive property to multiply each term of the first polynomial by each term of the second polynomial. You must use this method or the box method if you are multiplying polynomials that are not binomials. Polynomials

  6. Let’s Practice 3. (5 – x)(5 + x) = 25 + 5x – 5x – x2 = 25 – x2 4. (y + 2)2 = (y + 2)(y + 2) = y2 + 2y + 2y +4 = y2 + 4y + 4 1. (y – 5)(y – 1) = y2 – y – 5y + 5 = y2 – 6y + 5 2. (3xy + 4)(4xy – 5) = 12x2y2 – 15xy + 16xy – 20 12x2y2 + xy – 20 Polynomials

More Related