+0  
 
0
51
1
avatar+144 

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

 Oct 20, 2022
 #1
avatar+118132 
+1

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.

 

\(f(x)=x⁴-2x³-13x²+38x-24\\ f(1)=1-2-13+38-24 =39-39=0\;\;great\\ (x-1)\text{ is a factor} \)

 

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

37 Online Users