Question 1031494
Write the function in the form f(x) = (x − k)q(x) + r for the given value of k​and demonstrate that f(k) = r. f(x) = (5x^4 −4x^3 +3x^2 −2x+1); k = −2 
I know that I'm supposed to use synthetic division to solve this 
my final answer that I got was 5x^3+6x^2+15x+28 with a remainder of 57/x-2 
My question is how do I check my solution to verify? 
-------|
-2)....5....-4....3....-2....1
.......5....-14..31....-64..|..129
----------
Checking::
f(-2) = 5*(-2)^4 - 4(-2)^3 + 3(-2)^2 -2(-2) + 1
----
= 5(16) - 4(-8) + 12 + 4 + 1
---
= 80+32+12+4+1 = 129
------------
Cheers,
Stan H.
------------