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Mathematics 14 Online
OpenStudy (anonymous):

dividing polynomials

OpenStudy (anonymous):

what's the problem? you must remember like terms.

hero (hero):

@dmax, do you have a specific math problem you're working on related to dividing polynomials? If so, you should post it.

OpenStudy (anonymous):

4xsquared -28x+16 divided by x-8

hero (hero):

\[\frac{4x^2 - 28x + 16}{x - 8}\]

hero (hero):

@dmax

OpenStudy (anonymous):

that is the one

OpenStudy (anonymous):

can u help me?

hero (hero):

Have you tried long division for this?

OpenStudy (anonymous):

not this one8 doesn't go into 4 properly

hero (hero):

It's long division, so you have to assume that it won't divide evenly

OpenStudy (anonymous):

so would I do it in .5 times

hero (hero):

\[\frac{4x^2 - 28x + 16}{x + 8} = \frac{4x^2 + 32x - 60x + 16}{x + 8}\] \(=\dfrac{4x^2 - 32x}{x + 8} - \dfrac{60x - 16}{x + 8}\) \( = 4x - \dfrac{60x + 480 - 496}{x + 8}\) \(= 4x - \dfrac{60 + 480}{x + 8} + \dfrac{496}{x + 8}\) \(= 4x - 60x + \dfrac{496}{x + 8}\)

hero (hero):

@dmax

OpenStudy (anonymous):

that makes a whole lot more sense thx dude

hero (hero):

Good luck understanding it fully.

OpenStudy (anonymous):

it explains

hero (hero):

Do you think you can do a polynomial division on your own using the same method?

OpenStudy (anonymous):

try me

hero (hero):

But do this one: \[\frac{8x^2 - 30x + 45}{x + 7}\]

OpenStudy (anonymous):

8x-30+\frac{ 6x }{ 6? }\]

hero (hero):

Not exactly

hero (hero):

This is more difficult than you think

OpenStudy (anonymous):

am i close

hero (hero):

I wouldn't say that you are. You might be able to figure out the first term. But figuring out the rest of it is the difficulty.

OpenStudy (anonymous):

the fraction?

hero (hero):

You got 8x correct, but the rest of it is wrong.

hero (hero):

But like I said, the first term is easy to figure out anyway

hero (hero):

The correct answer is \[8x - 86 + \frac{647}{x + 7}\]

hero (hero):

It would be impressive if you could figure out the steps in-between

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