Question

Set up the following division problems for BOTH long division and synthetic division.DONT NOT SOLVE THE PROBLEMS. just set them up.

Answer 1

Given data:

The given expression is (9v^4 -84v^3+20v^2+58v+41) ÷(v-9).

The given expression can be written as,

`\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_{} \\ ((9v^4-84v^3+20v^2+58v+41))/((v-3))=(9v^3-3v^2-7v-5)-(4)/((v-3)) \end{gathered}`

Thus, the given expressiion can be written as (9v^3-3v^2-7v-5)-4/(v-3).