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Factor f(x)=x⁴-2x³-13x²+38x-24 fully. Show your work.

 Oct 20, 2022
 #1
avatar+118703 
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I'd start by considering factors of 24    

plus or minus  1,2,3,4,6,8,12,24     That's a lot  16 in total

Now trial and error to see which one will divide in perfectly.

 

f(x)=x2x³13x²+38x24f(1)=1213+3824=3939=0great(x1) is a factor

 

Now I would divide f(x) by  x-1    to get the dividend then start the process again.

OR you could just look for another possibility out of the list.

 Oct 21, 2022

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