Factoring Help

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nickelpickle
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Mon Nov 14, 2005 8:56 pm
nickelpickle says... · Mon Nov 14, 2005 8:56 pm
Hey guys. I had about two hundred of these to do, but I could get a few. If anyone can work a few or all of these out, I would GREATLY appreciate it!

When I put 4x^2, I mean four x squared.

4x^2-13x-27
3x^2+54x+243
112x^2-168x+63

Factor into simplest terms please!
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Snoink
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Mon Nov 14, 2005 8:58 pm
Snoink says... · Mon Nov 14, 2005 8:58 pm
Wait... (4x)^2? Or 4(x)^2?
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Snoink
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Mon Nov 14, 2005 9:19 pm
Snoink says... · Mon Nov 14, 2005 9:19 pm
Okay... I'm doing these anyway.

4x^2-13x-27

4 * -27 = -108=0

Now, what can divide in -108 that, when added, can equal -108?

12*9=108
4*27=108
18*6=108

Okay, what about -108?

-18*6=108
6-18=-13

So!

4x^2+6x-18x-27 =0
2x(2x+3)-9(2x-3)=0
(2x+3)(2x-9)

2x+3=0
2x=-3
x=-3/2

2x-9=0
2x=9
x=9/2

So, two answers

x=-3/2
x=9/2

Help any?
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Bjorn
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Sat Nov 19, 2005 7:20 pm
Bjorn says... · Sat Nov 19, 2005 7:20 pm
They look to me to already be in simplest terms...What exactly are we working with? Are these polynomials?
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Snoink
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Sun Nov 20, 2005 4:46 am
Snoink says... · Sun Nov 20, 2005 4:46 am
Well... simplest terms may be: (2x+3)(2x-9)

Something like that. :P
Ubi caritas est vera, Deus ibi est.

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Bjorn
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Mon Nov 21, 2005 1:32 am
Bjorn says... · Mon Nov 21, 2005 1:32 am
OH! I am so dumb! Now I remember...
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Karma
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Wed Apr 12, 2006 10:51 pm
Karma says... · Wed Apr 12, 2006 10:51 pm
Okay... This may sound weird, but I love factoing, so:

3x^2+54x+243
is divisible by 3, so:
3(x^2+18x+81)

which turns into (x+9)(x+9)


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112x^2-168x+63

is equal to

7(16x^2-24x+9)

which will eventually turn into (4x-3)(4x-3)
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Black Ghost
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