1 / 7

MTH 092

MTH 092. Section 11.5 Special Factoring Techniques. The Difference of Two Squares. How to recognize one: The first term is a perfect square (1, 4, 9, 16, 25, 36, etc., or a variable with an even exponent) The last term is a perfect square. There is a subtraction sign between the terms.

dara-bush
Télécharger la présentation

MTH 092

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. MTH 092 Section 11.5 Special Factoring Techniques

  2. The Difference of Two Squares • How to recognize one: • The first term is a perfect square (1, 4, 9, 16, 25, 36, etc., or a variable with an even exponent) • The last term is a perfect square. • There is a subtraction sign between the terms.

  3. Examples • x2 – 36 • 100 – t2 • 36y2 – 25 • n4 – 16 • 49y2 + 1

  4. Perfect Square Trinomials • It MAY be a perfect square trinomial: • The first term is a perfect square. • The last term is a perfect square. • The last sign is positive. • a2 + 2ab + b2 = (a + b)2 • a2 – 2ab + b2 = (a – b)2 • Use FOIL to check. If it doesn’t work, try another factoring strategy (AC or Guess-and-Check)

  5. Examples • x2 + 22x + 121 • p2 – 4p + 4 • n2 – 18n – 144 • 25a2 – 40ab + 16b2 • y2 + 4y + 16

  6. Remember!!! • Always look for a GCF before attempting other factoring strategies!

  7. Examples • 2n2 – 28n + 98 • -9t2 + 1 • 36x2 – 64y2 • y3 + 12y2 + 36y

More Related