Question

Factoriza: M(x) = $x^{8}$ – $x^{2}$ – 6x – 9

Answer 1

Respuesta:

  $M(x) = ( x^{4} +x+3 ) ( x^{4} -x-3)$

Explicación paso a paso:

$M(x) = x^{8} -x^{2} -6x-9$

$M (x ) = x^{8} - [ x^{2} +6x +9 ]$

$M(x) = x^{8} - [ ( x +3 ) ( x + 3 ) ]$

$M(x) = x^{8} - ( x+3 )^{2}$   $= [ x^{4} + (x+3) ] [ x^{4} - (x+3)]$

$M(x) = ( x^{4} + x + 3 ) ( x^{4} -x -3 )$