Question

factorise, x power 3 + 13x power 2 + 32x +20

Answer 1

$\mathbf{Equation: x ^{3} + 13 {x}^{2} + 32x + 20}$

=> x³ + x² + 12x² + 32x + 20


=> x²( x + 1 ) + 12x² + ( 12 + 20 ) x + 20


=> x²( x + 1 ) + 12x² + 12x + 20x + 20


=> x²( x + 1 ) + 12x( x + 1 ) + 20( x + 1 )


=> ( x + 1 ) ( x² + 12x + 20 )


=> ( x + 1 ) ( x² + { 10 + 2 } x + 20 )


=> ( x + 1 ) ( x² + 10x + 2x + 20 )


=> ( x + 1 ) [ x( x + 10 ) + 2( x + 10 )]



$\bold{ => ( x + 1 ) ( x + 10 ) ( x + 2 ) }$