Question

If f(x) = 3x5+4x4+5, then what is the remainder when f(x)is divided by x+3?

Answer 1

`f(x) = {3x}^(5) + {4x}^(4) + 5 \\ factor = x + 3 \\ x = - 3 \\ f( - 3) = 3 {( - 3)}^(5) + 4 {( - 3)}^(4) + 5 \\ remainder = - 400`