1 / 9

2.6 Factor x 2 + bx + c

2.6 Factor x 2 + bx + c. Facts. Use the following information to factor trinomials of the form x 2 + bx + c: x 2 + bx + c = (x + p)(x + q) p + q = b pq = c You can FOIL your answer to check your work!. Example 1:. Factor x 2 + 10x + 24

waseem
Télécharger la présentation

2.6 Factor x 2 + bx + c

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. 2.6Factor x2 + bx + c

  2. Facts • Use the following information to factor trinomials of the form x2 + bx + c: • x2 + bx + c = (x + p)(x + q) • p + q = b • pq = c • You can FOIL your answer to check your work!

  3. Example 1: • Factor x2 + 10x + 24 • Find two positive factors of 24 whose sum is 10.

  4. Example 2: • Factor w2 – 10w + 9 • Because b is negative and c is positive, p and q must be negative.

  5. Example 3: • Factor k2 + 6k – 7 • Because c is negative, p and q must have different signs.

  6. You Try: • Factor the trinomial: • y2 + 6y + 5 Answer: (y + 5)(y + 1) • z2 – 7z + 12 Answer: (z – 3)(z – 4) • y2 + 2y – 63 Answer: (y – 7)(y + 9)

  7. Example 4: • Solve the equation h2 – 4h = 21 • Solution: Write the original equation: h2 – 4h = 21 Subtract 21 from each side: h2 – 4h – 21 = 0 Factor the left side: (h + 3)(h – 7) = 0 Zero-Product Property: h + 3 = 0 OR h – 7 = 0 Solve for h: h = -3 OR h = 7

  8. You Try: • Solve the equation x2 + 30 = 11x

  9. Homework: • P. 83 # 1 – 27odd

More Related