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Mathematics 8 Online
OpenStudy (anonymous):

factor completely 8x^4-20x^3-12x^2

OpenStudy (tkhunny):

Looks like \(4x^{2}\) is a factor.

OpenStudy (anonymous):

Would this be prime?

OpenStudy (tkhunny):

No. What's wrong with the factor I just gave you? What does it leave after factoring that out?

OpenStudy (anonymous):

so the answer is 4x^2(2x^2-5x-3)?

OpenStudy (tkhunny):

It would be the answer if that trinomial cannot be factored. Can it?

OpenStudy (anonymous):

no

OpenStudy (tkhunny):

Let's see... \((-5)^{2} - 4(2)(-3) = 25 + 24 = 49 = 7^{12}\) Whoops. It CAN be factored. Try harder. 2x^2-5x-3 (2x __ ____)(x __ ____) Fill in the blanks.

OpenStudy (anonymous):

i dont know

OpenStudy (tkhunny):

You've never factored anything?

OpenStudy (anonymous):

i have

OpenStudy (tkhunny):

Good, then. There are only four possibilities. Try them out and see which one works. (2x + 1)(x - 3) (2x - 1)(x + 3) (2x + 3)(x - 1) (2x - 3)(x + 1) Which?

OpenStudy (anonymous):

the first i get it now thanks

OpenStudy (tkhunny):

There you go.

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