Given data:
The given expression is (9v^4 -84v^3+20v^2+58v+41) ÷(v-9).
The given expression can be written as,
[tex]\begin{gathered} (9v^4-84v^3+20v^2+58v+41)=9v^3(v-9)-3v^2(v-9)-7v(v-9)-5(v-9)-4 \\ =(v-3)(9v^3-3v^2-7v-5)-4_{} \\ \frac{(9v^4-84v^3+20v^2+58v+41)}{(v-3)}=(9v^3-3v^2-7v-5)-\frac{4}{(v-3)} \end{gathered}[/tex]
Thus, the given expressiion can be written as (9v^3-3v^2-7v-5)-4/(v-3).
