Question 1183005
.


You correctly determined the roots.


I have checked it by direct substitution and calculation.



As soon as you know all the roots,  you can write the linear decomposition as  


    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;f(x) = 2*(x-3)*(x+5/2)*(x+6) = (x-3)*(2x+5)*(x+6).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>


Solved.