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# Pls Help (Polynomial Factor Question)

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

Oct 20, 2022

#1
+118132
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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.

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

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