Direst substitution

I am confused by the equal sign. Did you enter an "=" sign instead of a "+" sign (they are both on the same key)?

 

If the problem is to find the remainder of (4x⁴ + 3x³ + 2x² + 1) / (x - 1) by direct substitution, you need to find f(1):

 

f(x) = 4x⁴ + 3x³ + 2x² + 1   --->   f(1) = 4(1)⁴ + 3(1)³ + 2(1)² + 1  = 4 + 3 + 2 + 1  =  10   --->  so the remainder is 10.

 

Notice that you need to find f(1), NOT f(-1).

The rule:  if the problem has division by x - a, find f(a); if the problem has division by x + a, find f(-a).