Question

what should be subtracted from x^3+3x^2+2x+10,so that the result is exactly divisible by (x+3)

Answer 1

${x}^{3} + 3 {x}^{2} + 2x + 10 \\ {( - 3)}^{3} + 3 {( - 3)}^{2} + 2 ( - 3) + 10 \\ - 27 + 27 - 6 + 10 \\ 4$

if we subtract 4 from this equation then the result is exactly divisible by (x+3).