Question

factorize: x³+2x²-23x-60

Answer 1

$= > {x}^{3} + 2 {x}^{2} - 23x - 60 \\ \\ = > {x}^{3} - {x}^{2} + 3 {x}^{2} - 20x - 3x - 60 \\ \\ = > ( {x}^{3} + 3 {x}^{2} ) + ( - {x}^{2} - 3x) + ( - 20x - 60) \\ \\ = > {x}^{2} (x + 3) - x(x + 3) - 20(x + 3) \\ \\ = > ( {x}^{2} - x - 20)(x + 3) \\ \\ = > ( {x}^{2} - 5x + 4x - 20)(x + 3) \\ \\ = > [ x(x - 5) + 4(x - 5) ](x + 3) \\ \\ = > (x - 5)(x + 4)(x + 3) \\ \\ BE \: BRAINLY$