can you continue? (you should memorize the rules for logarithms so you know how to simplify them )

use the remainder theorem:2) When x^4 - 4x^3 + ax^2 + bx + 1 is divided by (x-1) the remainder is 7

When it is divided by (x+1) the remainder is 3

Determine values of a and b

let

then, we know by the remainder theorem, that:

and

you can use this to set up two simultaneous equations where you can solve for a and b