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ok try this. first of all find the zeros
\[12x^3-48x^2+12x+72=0\]
\[x^3-4x^2+x-6=0\]

typo
\[x^3-4x^2+x+6=0\]

find the "something" by division got get
\[(x+1)(x^2-5x+6)=0\]

I see. So how should I write the steps on the exam? Is there an appropriate way to write it out?

write it like i did. you may want to show how to divide by x+1. you can use synthetic division.

How did you get (x+1)(x^2−5x+6)? I forgot how to do the division...

You have to find your old pre-cal notes on long division.

Oh no:( I don't have them anymore...
Would you mind showing me how to do it?

i will be here. if you have a specific question try
satellite7.openstudy@gmail.com

thanks:)