1 / 10

Unit 2: Expressions and Polynomials

Unit 2: Expressions and Polynomials. GCF and Factoring. GCF. Greatest Common Factor The largest factor in common between two numbers Ex: The GCF between 25 and 30 is 5 Ex: The GCF between 4x and 10 is 2 Ex: The GCF between 5mnp and 15mp is 5mp. GCF and Factoring.

rodney
Télécharger la présentation

Unit 2: Expressions and 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. Unit 2: Expressions and Polynomials GCF and Factoring

  2. GCF • Greatest Common Factor • The largest factor in common between two numbers • Ex: The GCF between 25 and 30 is 5 • Ex: The GCF between 4x and 10 is 2 • Ex: The GCF between 5mnp and 15mp is 5mp

  3. GCF and Factoring • Factor the GCF out of the following polynomial

  4. Factoring Polynomials • Review:

  5. Factoring Polynomials Bottoms Up! • To factor polynomials in the form • Use the Bottoms Up Method • This method works for factoring any type of polynomial!

  6. Bottoms Up! Steps • Step 1: Multiply a and c together • Step 2: Find 2 number that multiply to give (ac) and add to give b • Step 3: Place each of those numbers inside of separate binomials with x at the beginning • Step 4: Divide each of the constants by a • Step 5: If any constant is in fraction form, multiply each term in that binomial by the denominator

  7. Factoring Polynomials: Bottoms Up! • Example: • Factor • Step 1: Multiply a and c together • 1 x 45 = 45 • Step 2: Two numbers that multiply to give 45 and add to give 14 • 9 and 5 • Step 3: Place each number inside of binomials • (x + 9) (x + 5) • Step 4: Divide each of the constants by a • a equals 1, so there is no need to divide further. • Your answer is (x + 9)(x + 5)

  8. Factoring Polynomials: Bottoms Up! • Factor the following polynomial: • Step 1: Multiply a and c together • 2 x 18 = 36 • Step 2: Two numbers that multiply to give 36 and add to give 15 • 12 and 3 • Step 3: Place each number inside of binomials • (x + 12) (x + 3)

  9. Factoring Polynomials: Bottoms Up! • Step 4: Divide each of the constants by • Step 5: Since is not an integer, multiply the 2nd binomial by 2 to get rid of the fraction. • Your final answer is

  10. Try! • Factor the following: • 1) • 2)

More Related