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Algebra Question (Trying to help Daughter-in-law)

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Dinger Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Oct-09-08 09:46 PM
Original message
Algebra Question (Trying to help Daughter-in-law)
Edited on Thu Oct-09-08 09:47 PM by Dinger
I'm rusty as hell, and I want to help her out. Here is the problem:

How do you factor: 3x squared - x -3 ?

Thanks. She has about one hour to get this done, we're almost there. I helped her with a few other problems, but this one has me stumped. Maybe it's prime?

I know it starts like this:

(3x ) (x )
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fortyfeetunder Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Oct-09-08 09:52 PM
Response to Original message
1. I sent you a PM
Hope this helps
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rurallib Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Oct-09-08 10:07 PM
Response to Reply #1
2. could you write it out. I will be working with mentees on this soon
and I am rusty also.
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Dinger Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Oct-09-08 10:15 PM
Response to Reply #2
3. Is It Prime?
Edited on Thu Oct-09-08 10:15 PM by Dinger
Then it can't be factored. My daughter-in-law has 3 chances to submit answers, and she has used 2. One she submitted was that it was prime, but that was incorrect.
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LisaL Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Oct-09-08 11:28 PM
Response to Reply #3
8. No it's not prime.
But there are no integer solutions.
Try this:
http://www.1728.com/quadratc.htm
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pokerfan Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Oct-10-08 12:11 AM
Response to Reply #8
9. The minimum is +1/6
if that helps the OP.

d/dx = 6x-1 = 0
x = 1/6



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Dinger Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Oct-09-08 10:25 PM
Response to Original message
4. Still Trying . . .
& trying . . . .
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madinmaryland Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Oct-09-08 10:28 PM
Response to Original message
5. 3x2 * (-3) = -9x2
:shrug:
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Lethe Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Oct-09-08 10:47 PM
Response to Original message
6. using the quadratic, you get
(x - 1.1805)(x + 0.84713)

not sure if that helps or not
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pokerfan Donating Member (1000+ posts) Send PM | Profile | Ignore Thu Oct-09-08 11:20 PM
Response to Original message
7. I see no integer factors
Edited on Thu Oct-09-08 11:22 PM by pokerfan
you need two numbers that multiply to -3 and sum to -1 when one is multiplied by 3

(-3, 1) and (3, -1) both fit the first criteria but neither fit the second.

I see no simple integer solution so use the quadratic as ikhor suggested.

:shrug:



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