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Mathematics 19 Online
OpenStudy (anonymous):

PLEASE HELP!!! What is the factored form of 2x^2 − 7x + 6?

OpenStudy (anonymous):

That?

OpenStudy (anonymous):

Alright so the way I was taught to do factors like this was first multiply the first term by the last term so 2*6=12

OpenStudy (anonymous):

Now we have to find something that multiplys to equal twelve and adds to equal -7

OpenStudy (anonymous):

Two methods

OpenStudy (anonymous):

The cross method is easier

OpenStudy (anonymous):

um, -4 and -3? @recon14193

OpenStudy (anonymous):

yes so what we can do is split up the center term now. It's not correct by normal math standards but when we're done you will have it factored

OpenStudy (anonymous):

See?

OpenStudy (anonymous):

so we have \[2x^{2}-3x-4x+6\]

OpenStudy (anonymous):

then we group them and factor from each

OpenStudy (anonymous):

So it becomes (2x-3)(x-2)

OpenStudy (anonymous):

so is (2x-3)(x-2) the final answer?

OpenStudy (anonymous):

Correct

OpenStudy (anonymous):

If you see the attachments

OpenStudy (anonymous):

You will be able to see the cross method applied

OpenStudy (anonymous):

okay, then why are my answer choices: a. 2 b. y − 8 c. x − 4 d. x + 6

OpenStudy (anonymous):

Huh... That's weird

OpenStudy (anonymous):

Can you send a pic?

OpenStudy (anonymous):

OpenStudy (anonymous):

That's very odd because non of those answers are factored

OpenStudy (anonymous):

so what would be the right answer out of those?

OpenStudy (anonymous):

I'm so confused...

OpenStudy (anonymous):

Well non of them are correct

OpenStudy (anonymous):

Is there a way to contact your teacher about that?

OpenStudy (anonymous):

unfortunately not

OpenStudy (anonymous):

If not... Just pick one because the expression you have me can be put into a quadratic equation and when that is true you can never have just a variable and a number

OpenStudy (anonymous):

oh okay. well thanks for your help anyway :)

OpenStudy (anonymous):

Sure thing... Non of the choices are correct so you shouldn't get penalized for it... I mean factored means to have two separate items to multiply with

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