1 / 9

Mastering Quadratic Equations: A Guide to Factoring

This resource provides a comprehensive approach to solving quadratic equations by factoring. Understanding the structure of a quadratic equation, represented as "ax² + bx + c", is crucial. You will learn how to identify two numbers that multiply to the constant term "c" while adding up to the coefficient "b". Detailed examples and sample problems are included, such as: x² + 6x - 7 = 0, leading to solutions like x = -7 and x = 1. Explore the resources for videos and further practice, enhancing your understanding of quadratic equations through factoring.

sally
Download Presentation

Mastering Quadratic Equations: A Guide to Factoring

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. Quadratic By Factoring DeAdra Zackery & Briana Williams

  2. Topic • A "quadratic" is a polynomial that looks like "ax2 + bx + c", where "a", "b", and "c" are just numbers. For the easy case of factoring, you will find two numbers that will not only multiply to equal the constant term "c", but also add up to equal "b", the coefficient on the x-term.

  3. original equation. factor. zero product property. solve for your solution. Ex: x2+6x-7=0 (x+7)(x-1)=0 x+7=0 x-1=0 Solution is X=-7 x=1 Steps

  4. 10 Sample Problems • Ex:(x+3) (x-2) = 0 • Ex:y2-y-42=0 • Ex:-72+6w+w2 • Ex:x2+4x-12=0 • Ex:x2 + 5x + 6=0 • Ex:x2+12x+27=0 • Ex:P2-2p-35=0 • Ex:n2+3n-54=0 • Ex:W2+13w-48=0 • Ex:x2+8x+15=0

  5. 10 Sample Problems • answer x=-3 x=2 • answer x=-3 x=-9 • answer x=6 x=-7 • answer w=8 w=-9 • answer x=2 x=-6 • answer x=-2 x=-3 • answer p=5 p=3 • answer n=6 n=-9 • answer w=6 w=-8 • answer x=-6 x=-10

  6. Educational Resource • http://cnx.org/content/m18227/latest/ • Solving quadratics by factoring video. • http://www.mathocean.com/2010/01/solving-quadratic-equations-by.html

  7. Fun resource • Video2 min 45 sec - Mar 30, 2006Uploaded by jsamulakwww.youtube.com • quadratic formula3 min 52 sec - Dec 21, 2007Uploaded by deferosowww.youtube.com

  8. 1. (k+1)(k-5)=0 2.(a+1)(a+2)=0 3.(4k+5)(k+1)=0 4. x2 − 11x+ 19= −5 5.n2 + 7n+15 = 55. Solving Quadratic Equations by Factoring Solve each equation by factoring.

More Related