Quadratic By Factoring DeAdra Zackery & Briana Williams.

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Presentation transcript:

Quadratic By Factoring DeAdra Zackery & Briana Williams

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.

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

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

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 test/ test/ Solving quadratics by factoring video. 0/01/solving-quadratic- equations-by.html

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

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.