#1**+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.

Melody Oct 21, 2022