Question

x^2+2x^3-13x^2 -38x-24=0

Answer 1

x² + 2x³ - 13x² - 38x - 24 = 0

2x³ - 12x² - 38x - 24 = 0

x³ - 6x² - 19x - 12 = 0

x³ + x² - 7x² - 7x - 12x - 12 = 0

x²(x + 1) - 7x(x + 1) - 12(x + 1) = 0

(x + 1)(x² - 7x - 12) = 0

x + 1 = 0                                       x² - 7x - 12 = 0

  $x_{1}$ = - 1                        $x_{2}$ = - 1, 42...       $x_{3}$ = 8,42...