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Mathematics 18 Online
OpenStudy (anonymous):

I have a question about factoring

OpenStudy (katrinakaif):

How can I help you?

OpenStudy (anonymous):

What's up?

OpenStudy (anonymous):

k here is an example problem 6x to the 2nd power plus3x minus 2x minus 1

OpenStudy (anonymous):

That's just \[6x^2+x-1\] You can then factor it to (2x+1)(3x-1)

OpenStudy (anonymous):

Make sense?

OpenStudy (anonymous):

i don't understand how you went from 6x squared plus 3 minus 2x minus 1 to 6x squared plus x minus 1

OpenStudy (katrinakaif):

Okay first collect like terms such as 3x - 2x = 1x then it would be 6x^2 + 1x - 1 Use the daimond method which means that you multiply 6 with -1 = -6 ( a times c) Then you see what can go into -6 and add into the middle term +1. The factors that can do that is 3 and -2 because when these terms multiply they equal -6 and when they are substracted they equal -+1.

OpenStudy (anonymous):

The middle terms are the same so you can add/subtract them.

OpenStudy (anonymous):

3x-2x=x

OpenStudy (anonymous):

katrina where are you getting -6

OpenStudy (katrinakaif):

So now you plug it into like this 6x^2 + 1x - 1which factors into 6x^2+3) (-2x -1) AS you can see +3 -2 = 1 which is the middle term. With simplifying those two expressions (taking teh GCF) you should get your factored form.

OpenStudy (anonymous):

thank you for all the help but I have to go home. if you could send a explanation to my e-mail I would appreciate it Katrina. janny_boy82@yahoo.com

OpenStudy (anonymous):

good night

OpenStudy (katrinakaif):

I am getting negative 6 because in this expression: 6x^2 +1x - 1 I mulitply the a and c terms, which are 6 and -1 hence -6

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