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Mathematics 20 Online
OpenStudy (anonymous):

Factor this 8y^2 + 6y + 1 Help please, math will be the death of me

OpenStudy (anteater):

There is an approach that I can show you on this if you would like?

OpenStudy (anonymous):

Please, I am borderline moron when it comes to math dont know how im passing my senior year of math right now

OpenStudy (anteater):

One method that works if you have a factorable quadratic is this: First, identify a, b, and c for your quadratic. What is a? What is b? And, what is c?

OpenStudy (anteater):

If you do not recall, we can go over that quickly. :)

OpenStudy (anonymous):

I dont know if this is quadratic, but the answer is something like this i just dont know the other number (2y ) (4y ) i dont know what goes in the middle of those parentheses

OpenStudy (anteater):

Well, actually you are off to a very good start. But what you want to look at next is the final term of your quadratic, 1.

OpenStudy (anteater):

What would you multiply together to get 1?

OpenStudy (anonymous):

like in general? the only thing that multiplys to 1 is 1

OpenStudy (anteater):

Exactly. So you have this: (2y 1)(4y 1)

OpenStudy (anteater):

And you also need to look at the signs on the terms in your quadratic

OpenStudy (anteater):

So, since the terms of your original quadratic are separated by + and another +

OpenStudy (anonymous):

ah! see im so dumb

OpenStudy (anteater):

No, actually, it just takes practice and getting used to the patterns :)

OpenStudy (anteater):

So your original quadratic was 8y^2 + 6y + 1

OpenStudy (anteater):

and since you have + signs throughout, what must the signs be between 2y and 1 and between 4y and 1?

OpenStudy (anonymous):

+

OpenStudy (anteater):

Yep

OpenStudy (anteater):

So then your factored quadratic is (2y + 1)(4y + 1)

OpenStudy (anonymous):

Thank you for all your help! ;]

OpenStudy (anteater):

But you can always multiply them back together and combine like terms

OpenStudy (anteater):

to make sure it works.

OpenStudy (anteater):

You're welcome :D

OpenStudy (anteater):

By the way, if you want a few more tips on factoring quadratics, or if you have others you want to work on, I have a few more minutes.

OpenStudy (anteater):

Or if not, that's fine. :) Have a good night!

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