Can someone please help me in simplifying the following:

y= -2(x/2)^2 - 15(x/2) - 22

I'm having problems with an assignment question because I can't remember how to do this one step... its been awhile since I took math.

Thanks.

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- Jul 8th 2009, 01:49 PMoryxncrakeNeed Help Simplifying an Equation...
Can someone please help me in simplifying the following:

y= -2(x/2)^2 - 15(x/2) - 22

I'm having problems with an assignment question because I can't remember how to do this one step... its been awhile since I took math.

Thanks. - Jul 8th 2009, 02:25 PMAlephZero
From $\displaystyle y=-2(\frac{x}{2})^2 - 15(\frac{x}{2})-22,$ perform the squaring and rewrite as

$\displaystyle y=-\frac{2x^2}{4}-\frac{15x}{2}-22,$ express in common denominator as

$\displaystyle y=\frac{-x^2-15x-44}{2}$ and clean up the signs to get

$\displaystyle y=-\frac{1}{2}(x^2+15x+44)$ - Jul 8th 2009, 02:30 PMskeeter
$\displaystyle y = -\frac{1}{2}(x+4)(x+11)$

- Jul 9th 2009, 01:22 PMoryxncrake
Thanks, that helped a lot.