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Quadratic By Factoring. DeAdra Zackery & Briana Williams. Topic.
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Quadratic By Factoring DeAdra Zackery & Briana Williams
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.
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
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
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
Educational Resource • http://cnx.org/content/m18227/latest/ • Solving quadratics by factoring video. • http://www.mathocean.com/2010/01/solving-quadratic-equations-by.html
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
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.