Question

Without actual division show that x^3-3x^2-13x+15 is exactly divisible by x^2+2x-3

Answer 1

${x}^{2} + 2x - 3 = {x}^{2} + 3x - x - 3 \\ = x(x + 3) - 1(x + 3) \\ = (x + 3)(x - 1)sub \: the \: vales \:in \: givn \: eqn$
cubic eqn we could get that answeŕ!!!