Question

factorise x^3-2x^2-29x-42​

Answer 1

${x}^{3} - 2 {x}^{2} - 29x - 42 \\ {x}^{3} + 2 {x}^{2} - 4 {x}^{2} - 8x - 21x - 42 \\ {x}^{2} ( x + 2) - 4x(x + 2) - 21(x + 2) \\ (x + 2)( {x}^{2} - 4x - 21) \\ (x + 2)( {x}^{2} - 7x + 3x - 21) \\ (x + 2)(x(x - 7) + 3(x - 7)) \\ (x + 2)(x + 3)(x - 7)$