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Quadratic By Factoring DeAdra Zackery & Briana Williams

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Topic A "quadratic" is a polynomial that looks like "ax 2 + 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.

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Steps 1.original equation. 2.factor. 3.zero product property. 4.solve for your solution. Ex: x 2 +6x-7=0 (x+7)(x-1)=0 x+7=0 x-1=0 Solution is X=-7 x=1

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10 Sample Problems Ex:(x+3) (x-2) = 0 Ex:y 2 -y-42=0 Ex:-72+6w+w 2 Ex:x 2 +4x-12=0 Ex:x 2 + 5x + 6=0 Ex:x 2 +12x+27=0 Ex:P 2 -2p-35=0 Ex:n 2 +3n-54=0 Ex:W 2 +13w-48=0 Ex:x 2 +8x+15=0

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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

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Educational Resource http://cnx.org/content/m18227/la test/http://cnx.org/content/m18227/la test/ Solving quadratics by factoring video. http://www.mathocean.com/201 0/01/solving-quadratic- equations-by.html

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Fun resource Video 2 min 45 sec - Mar 30, 2006 Uploaded by jsamulak www.youtube.comVideo quadratic formula 3 min 52 sec - Dec 21, 2007 Uploaded by deferoso www.youtube.com quadratic formula

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Solving Quadratic Equations by Factoring Solve each equation by factoring. 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.

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MULTIPLICATION EQUATIONS 1. SOLVE FOR X 3. WHAT EVER YOU DO TO ONE SIDE YOU HAVE TO DO TO THE OTHER 2. DIVIDE BY THE NUMBER IN FRONT OF THE VARIABLE.

MULTIPLICATION EQUATIONS 1. SOLVE FOR X 3. WHAT EVER YOU DO TO ONE SIDE YOU HAVE TO DO TO THE OTHER 2. DIVIDE BY THE NUMBER IN FRONT OF THE VARIABLE.

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