Question

How do I solve the problem using synthetic division

Answer 1

We have 2x^3+10x^2+9x+38 / x+5
first we solve x+5 -----> x + 5= 0 , x= - 5.

then we solve using the technique for synthetic division 

-5 ! 2   10    9    38 
    !
    !     -10    0   -45
    -------------------------
    2     0       9   -7..................this -7 is the reminder 

having this the answer is  2x^2+9x-7/(x+5)

hope this helps !