+129852 One method
If x + 4 is a factor then - 4 is a root
So
f(-4) should = 0
So we have 4(-4)^4 - 2(-4)^3 -52(-4)^2 - 15 (-4) + 8 =
1024 + 128 - 832 + 60 + 8 = 388...so .... not a root
Another method....synthetic division
-4 [ 4 -2 - 52 - 15 8 ]
-16 72 -80 380
________________________
4 -18 20 -95 388 same remainder as above !!!
If it was a root....we sould get 0 as a result
