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Mathematics 19 Online
OpenStudy (anonymous):

Algebra help?(: Please!

OpenStudy (anonymous):

Factor completely -6x^2 + 18x - 24. (4 points) -1(x^2 - 18x + 24) -6x(x^2 - 3x + 4) -6(x^2 - 3x + 4) -6(x^2 + 3x - 4)

OpenStudy (adamaero):

First, what can you take out of each one? What number?

OpenStudy (anonymous):

2? or 4?

OpenStudy (adamaero):

Nope|dw:1425335204766:dw|

OpenStudy (anonymous):

6

OpenStudy (adamaero):

Yes, -6.

OpenStudy (adamaero):

If you take a negative number out of a negative number (and you're about to multiply them) is the other term, or number, negative or positive? -1*-? = 1 or -1* ? = 1 ?

OpenStudy (anonymous):

positive

OpenStudy (adamaero):

|dw:1425335419363:dw|

OpenStudy (adamaero):

Yep, so now you're down to the second and third choice.

OpenStudy (anonymous):

I'm thinking the second..

OpenStudy (adamaero):

Does this help? \[x*x ^{2}= x ^{1}*x ^{2}=x ^{3}\]

OpenStudy (anonymous):

ahah(: Thaank yah lovely(:

OpenStudy (adamaero):

Oh, I mean nope.

OpenStudy (adamaero):

It's the 3rd

OpenStudy (anonymous):

oh... alrighty(: But how does the x variable just disappear...?

OpenStudy (adamaero):

See the -24? It never went away. -24 couldn't sacrifice an x (because it didn't have one!)

OpenStudy (adamaero):

If you choose the second one, you need to distribute that extra x ...and you'll get this: -6x^3 + 18x^2 - 24x not -6x^2 + 18x - 24

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