1 / 14

Factoring Review

Math 10. Factoring Review. Types of Factoring. Greatest Common Factor (GCF) Trinomial without a leading coefficient ( x 2 + bx + c) Trinomial with a leading coefficient ( ax 2 + bx + c). 1) Greatest Common Factor. Factor. Solution:. *To find GCF: - take GCF of the coefficients

dasan
Télécharger la présentation

Factoring Review

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. Math 10 Factoring Review

  2. Types of Factoring • Greatest Common Factor (GCF) • Trinomial without a leading coefficient ( x2 + bx + c) • Trinomial with a leading coefficient ( ax2 + bx + c)

  3. 1) Greatest Common Factor Factor Solution: *To find GCF: - take GCF of the coefficients - for each variable, use the LOWEST exponent GCF = ) ( *To determine what is left inside the brackets: - take each term and divide by the GCF

  4. 2) Factoring x2+bx+c Factor *Notice that there is no coefficient in front of the x2 Solution: *Find two numbers that: - multiply to the last term - Adds to the middle coefficient

  5. 2) Factoring ax2+bx+c Factor *Notice that there IS a coefficient in front of the x2 *Need to use DECOMPOSITION.

  6. Factor 3x2-19x+20 • Multiply first and last coefficients together. Find two numbers that multiplies to your answer in step 1 but adds to the middle coefficient.

  7. Factor 3x2-19x+20 • Use the two numbers from step 2 to split the middle term. Group the first two terms and the last two terms together. Then factor out the GCF from each group.

  8. Factor 3x2-19x+20 • The GCFs will form one factor, while the binomial will form the other factor.

  9. You Try! Factor the following: 1) 2) 3)

  10. Answers: 1) Solution: GCF = ) (

  11. Answers: 2) Solution:

  12. Answers: 3)

  13. Combination Problems • Always look for a GCF first and factor it out if there is one. • Then determine if you can factor what is left.

  14. Ex. Factor 18X3+21X2+6X GCF =

More Related