1 / 19

F ACTORING P OLYNOMIALS

F ACTORING P OLYNOMIALS. F ACTORING P OLYNOMIALS. F ACTORING P OLYNOMIALS. F ACTORING P OLYNOMIALS. SECTION R-5. GCF. Find the GCF of 28 and 40. GCF. Find the GCF of 2, 7, 5. GCF. Find the GCF of x 3 , x 7 , x 5. S TEPS IN F ACTORING P OLYNOMIALS.

psellers
Download Presentation

F ACTORING P OLYNOMIALS

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 POLYNOMIALS FACTORING POLYNOMIALS FACTORING POLYNOMIALS FACTORING POLYNOMIALS SECTION R-5 R-5: Factoring Polynomials

  2. GCF • Find the GCF of 28 and 40 R-5: Factoring Polynomials

  3. GCF • Find the GCF of 2, 7, 5 R-5: Factoring Polynomials

  4. GCF • Find the GCF of x3, x7, x5 R-5: Factoring Polynomials

  5. STEPS IN FACTORING POLYNOMIALS • Determine if there is a GCF in the polynomial. • If there is, divide the whole equation by the GCF. • Put aside the GCF and focus on the factored equation • Factor out the polynomial (put in parentheses) • Write the GCF and polynomials factors together. R-5: Factoring Polynomials

  6. EXAMPLE 1 • Factor out R-5: Factoring Polynomials

  7. EXAMPLE 2 • Factor out R-5: Factoring Polynomials

  8. EXAMPLE 3 • Factor out R-5: Factoring Polynomials

  9. EXAMPLE 4 • Factor out This is known as DIFFERENCE of SQUARES! DIFFERENCE means subtraction…this only works when there is a minus sign. R-5: Factoring Polynomials

  10. EXAMPLE 5 • Factor out 9x2– 16 (3x + 4)(3x– 4) R-5: Factoring Polynomials

  11. Your Turn • Factor out R-5: Factoring Polynomials

  12. EXAMPLE 6 • Factor out R-5: Factoring Polynomials

  13. EXAMPLE 7 • Factor out R-5: Factoring Polynomials

  14. EXAMPLE 8 • Factor out R-5: Factoring Polynomials

  15. Your Turn • Factor out R-5: Factoring Polynomials

  16. Sum/Difference of Cubes x3 – 1 Step 1: Take the cubed root of the front term and back term. Place these in parentheses. Step 2: Take the remaining factors and place them in the front and back term positions. Leave the middle spot open. Step 3: Multiply the cubed roots by each other. Change the sign. This is your middle term.

  17. Sum/Difference of Cubes • 27x3 + 8

  18. Your Turn! • 8x3 – 1 (2x – 1)(4x2 + 2x + 1)

  19. ASSIGNMENT • Pg 51: #5 – 21 odd (skip 9) & #33 – 37 odd R-5: Factoring Polynomials

More Related