1 / 6

Factoring By Grouping

Factoring By Grouping. Students will be able to factor polynomials by grouping. Steps in Factoring Polynomials. The first step in factoring a polynomial is to look for a common monomial factor . If you find a GCF, extract it , as we did in the last section.

zahina
Télécharger la présentation

Factoring By Grouping

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. Factoring By Grouping Students will be able to factor polynomials by grouping.

  2. Steps in Factoring Polynomials • The first step in factoring a polynomial is to look for a common monomial factor. • If you find a GCF, extract it, as we did in the last section. • The next step is to look for a binomial factor, and extract it. • How do you find a binomial factor? Polynomials

  3. Finding a binomial factor Follow these steps to find a binomial factor: • Group the terms in the polynomial into pairs with acommon factor. • Extract theGCFfrom each pair of terms. • If the binomials remaining for each pair are identical, that is thebinomial factor. • The monomials that have been extracted create a second polynomial. Polynomials

  4. Example 1 Find the factors for 2a2+ 4ab + 3a + 6b • Group: • Find GCF for each group. The GCF for (2a2+ 4ab) is The GCF for (3a + 6b) is • Extract GCF from each pair. 2a(a + 2b) +3(a + 2b) • Extract binomial factor (2a2+ 4ab) + (3a + 6b) 2a 3 (a + 2b)(2a + 3) Polynomials

  5. Example 2 Find the factors for 4x3+ 4x2y2– xy –y3 • Group: • Find GCF for each group. The GCF for (4x3+ 4x2y2) is The GCF for (xy +y3) is • Extract GCF from each pair. 4x2(x + y2) –y(x + y2) • Extract binomial factor (4x3+ 4x2y2) – (xy + y3) 4x2 y (x + y2)(4x2– y) Polynomials

  6. Example 3 Find the factors for 2x3– 2x2y – 3xy2+ 3y3+ xz2– yz2 (2x3– 2x2y) – (3xy2– 3y3) + (xz2– yz2) 2x2(x– y)–3y2(x– y)+z2(x– y) (x – y) (2x2– 3y2+ z2) Polynomials

More Related