Bradford T. answered 10/03/21
Retired Engineer / Upper level math instructor
The remainder using synthetic division is the same as the value of the function of the divisor
x4-x3-18x2+39x-23
1 -1 -18 39 -23 |5
5 20 10 245
-------------------------------
1 4 2 49 222 <--- remainder = f(5)
f(5) = 222
To check graphically, using Desmos, plot f(x) and x=5
The intersection point will be (5,222)
or just enter f(5) after graphing f(x)