Mathematics
OpenStudy (anonymous):

A box has a volume given by the trinomial x^3 + 5x^2 - 24x. What are the possible dimensions of the box? use factoring

OpenStudy (anonymous):

\[ x^3 + 5x^2 - 24x \]What's the greatest common factor?

OpenStudy (anonymous):

Of both of the numbers?

OpenStudy (anonymous):

Well, right now it is obvious the common factor is \(x\).

OpenStudy (anonymous):

What happens when you factor out \(x\)?

OpenStudy (anonymous):

Then you'll be left with 5 and 24.

OpenStudy (anonymous):

\[ x^3 + 5x^2 - 24x=x(x^2 + 5x- 24) \]

OpenStudy (anonymous):

\[ x^2+5-24=x^2-3x+8x-24=x(x-3)+8(x-3)=(x-3)(x+8) \]

OpenStudy (anonymous):

\[ x^3+5x^2−24x=x(x^2+5x-24)=x(x-3)(x+8) \]

OpenStudy (anonymous):

You should practice factoring if you don't already know how to do it.

OpenStudy (anonymous):

Thank you for your help, I just don't really understand factoring.

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