1 / 12

Mastering Factoring: A Step-by-Step Guide to Quadratics

This guide breaks down the essential steps for factoring quadratics, a key concept in algebra. Learn how to factor out the greatest common factor (GCF), "undo the box" for quadratic expressions, or use graphing methods. Understand the structure of quadratics—polynomials with a highest exponent of 2, and how to check your answers using a table. Whether you're dealing with zeroes, x-intercepts, or different types of zeros, this resource provides clarity on how to approach these essential math problems with ease.

kita
Télécharger la présentation

Mastering Factoring: A Step-by-Step Guide to Quadratics

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. Review… • 3 Steps of Factoring 1) Factor out the GCF (*if possible) 2) If you have a quadratic “undo the box” *OR GRAPH 3) Check your answer in the table

  2. Quadratics • A polynomial with 2 as the highest exponent Ex: 2x2 + 7x + 6 • Quadratics come from a 2-by-2 box! (2x + 3)(x + 2) x 2 2x 3

  3. Quadratic? 1. 3x2 – 4x + 1 2. 2x3 + 4x2 – 6 3. 6x – y + 7 4. 5x2 – 4

  4. What are the Factoring Steps Again? 1) Factor out the GCF (*if possible) 2) If you have a quadratic “undo the box” *OR GRAPH 3) Check your answer in the table

  5. Un-doing the Box Factor:x2 + 7x + 10 (x + 2)(x + 5)

  6. Factor: 2x2 + 6x + 4 x2 3x 2 2( + + ) 2(x + 2)(x + 1)

  7. Factor: 4x3 + 8x2 + 4x 4x( + + ) x2 2x 1 4x(x + 1)(x + 1) 4x (x + 1)2

  8. x2 + 7x + 10 (x + 2)(x + 5)

  9. (x + 2)(x + 5) -2 and -5 are called the zeros…why?

  10. Write this down!!! ZEROS • X-intercepts • Make polynomial = 0 • Help you factor • You can have • Two zeros • Repeat zero • No zeros (prime)

  11. Two different zeros Double/Repeat zeros No Zeros (prime)

  12. Factor: 3x2 – 15x + 12 3(x2 – 5x + 4) {1 and 4} 3 (x – 1) (x – 4)

More Related