Question

Is x+2 a factor of x^3 + 7x2 + 14x + 3?

Answer 1

x³ - 4x² - 3x² + 12x + 2x - 8
= x²(x - 4) - 3x(x - 4) + 2(x - 4)
= (x - 4)(x² - 3x + 2)
= (x - 4)(x - 1)(x - 2)