Question

Is X+3 a factor of x^3-3x-10x+24? Explain?

Answer 1

`\begin{gathered} x^3-3x^2-10x+24 \\ x^3-2x^2-x^2+2x-12x+24 \\ x^2(x-2)-x(x-2)-12(x-2) \\ (x^2-x-12)(x-2) \\ (x^2-4x+3x-12)(x-2) \\ (x(x-4)+3(x-4))(x-2) \\ (x+3)(x-4)(x-2) \\ \text{Hence, (x+3) is a factor of given equation.} \end{gathered}`