Factor Completely: 8x^4 - 20x^3 - 12x^2

what is the highest number that goes into 8,20,and 12 ??

4 i think

yes...and what goes into x^4, x^3, and x^2 ?

let me rephrase that...what can be taken out of x^4, x^3 and x^2 ?

1 right?

no.....which is the smallest x ?

oh x^2

so we can factor out 4x^2

okay, how do you do that? I don't remember

4x^2(2x^2 - 5x - 3) and if you multiply the 4x^2 through the parenthesis, you end up with the original problem : 8x^4 - 20x^3 - 12x^2)

Oh okay i remember learning that! But i can't remember what to do next? is that the answer?

no...it can be factored further... 4x^2(x - 3)(2x + 1)

wow, i didn't know that, i forgot that step

well...sometimes it can be factored more and sometimes it can't. This time it could.

oh okay, is that the final answer?

yes it is :)

Thank you soooo Much!! i have other questions i am going to post after i close this one that are identical that i need help on too!

no problem :)

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