The polymonialf(x)=4x+8x+ax+6 has a factor of 2x-1 and leaves a remainder of 48 when divided by x-2 .

Find the value of a and b .
Find the remainder when f(x) is divided by x-1

To whoever answered this question:

how could find the value of b if the original function did not even
contain a b ??
furthermore, why wouldn't the author of the question have added the
4x + 8x ?
Surely there must be a typo.

The value of a is 6 and the value of b is -2.

The remainder when f(x) is divided by x-1 is 10.