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Mathematics 20 Online
OpenStudy (anonymous):

8x^3-2x

OpenStudy (mertsj):

What are you supposed to do with it?

OpenStudy (anonymous):

Factor each

OpenStudy (mertsj):

First factor out the common factor of 2x

OpenStudy (anonymous):

hmm how can i do that?

OpenStudy (mertsj):

2x( )=8x^3-2x

OpenStudy (mertsj):

Figure out what goes in the parenthesis that will multiply back to the original expression.

OpenStudy (anonymous):

4 and -1?

OpenStudy (mertsj):

Start by asking yourself 2 ( )=8

OpenStudy (anonymous):

it would be 4 right

OpenStudy (mertsj):

Yes. Now x( )=x^3

OpenStudy (anonymous):

3?

OpenStudy (mertsj):

\[x^1( )=x^3\]

OpenStudy (mertsj):

Remember, when you multiply, you add the exponents.

OpenStudy (anonymous):

would it be 3?

OpenStudy (anonymous):

would it be 3?

OpenStudy (mertsj):

No. x times 3 is 3x not x^3

OpenStudy (anonymous):

x^3?

OpenStudy (mertsj):

Do you know how to multiply exponentials?

OpenStudy (anonymous):

hmm not really

OpenStudy (mertsj):

For example, what is the answer to: \[x^3(x^5)\]

OpenStudy (anonymous):

it would be x^8 am i right?

OpenStudy (mertsj):

Yes. So if I gave the answer and asked you to fill in the blank like this: \[x^3( )=x^7\]

OpenStudy (anonymous):

it would be x^4

OpenStudy (mertsj):

What would have to go in there to make it true?

OpenStudy (mertsj):

Exactly. And that is what your problem is.

OpenStudy (anonymous):

ooo ok so wat would the answer be at the end?

OpenStudy (mertsj):

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