Question

 Factorise:  x3 -13x2 +32x -20  plz give me fast​

Answer 1

$\star\:\:\:\bf\large\underline\blue{Question:-}$

• Factorise the given cubic polynomial.

$\star\:\:\:\bf\large\underline\blue{Solution:-}$

${x}^{3} - 13 {x}^{2} + 32x - 20$

$= {x}^{3} - {x}^{2} - 12 {x}^{2} + 12x + 20x - 20$

$= {x}^{2} (x - 1) - 12x(x - 1) + 20(x - 1)$

$= (x - 1)( {x}^{2} - 12x + 20)$

$= (x - 1)( {x}^{2} - 10x - 2x + 20)$

$= (x - 1)(x(x - 10) - 2(x - 10))$

$= (x - 1)(x - 2)(x - 10)$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• $(x - 1)(x - 2)(x - 10)$