Answer :
SOLUTION
The given equatiion is:
[tex]3x^4-5x^2-20x+8[/tex]To be divided by x-1
set the expression to zero:
[tex]\begin{gathered} x-1=0 \\ x=1 \end{gathered}[/tex]Substitute x=1 into the polynomial:
[tex]3(1)^4-5(1)^2-20(1)+8[/tex]This gives:
[tex]3-5-20+8=-14[/tex]Therefore the remainder is -14.