Question

Factorise x⁴ + 2x³ - 3x² - 14x + 24

Answer 1

Answer :

Factorise : x ⁴ + 2 x ³ - 3 x ² - 14 x + 24 , So

$\Rightarrow$ x ( x ³ + 2 x ² - 3 x - 14 ) + 24

$\Rightarrow$ x [ x ( x ² + 2 x - 3 ) - 14 ] + 24

$\Rightarrow$ x [ x ( x ² + 3 x - x - 3 ) - 14 ] + 24

$\Rightarrow$ x [ x ( x ( x + 3) - 1( x + 3) ) - 14 ] + 24

$\Rightarrow$ x [ x ( x - 1 ) ( x + 3) - 14 ] + 24 ( Ans )

Irreducible form