Find the remainder when f (x) is divided by (x - k)

f (x) = 5x4 + 8x3 + 4x2 - 5x + 67; k = 2

It is to be solved by reminder thorem

f (x) / (x-k) will have reminder f (k),

so, f (2) = 5 * (2^4) + 8 * (2^3) + 4 * (2^2) - 5 (2) + 67

=5*16 + 8*8 + 4*4 - 5*2 + 67

=80 + 64 + 16 - 10 + 67

= 217