Question

find the remainder when x3-x2+2x-8 is divided byx+1

Answer 1

${x}^{3} + {x}^{2} + 2x - 8 \\ = {x}^{3} + {x}^{2} + 2x + 2 - 10 \\ = {x}^{2} (x + 1) + 2(x + 1) - 10 \\ = (x + 1) ({x}^{2} + 2) - 10 \\ so....remainder \: is \: - 10$