Đáp án: $x^4-2x^2-144x-1295=(x+5)(x-7)(x^2+2x+37)$
Giải thích các bước giải:
$x^4-2x^2-144x-1295$
$=x^4+5x^3-5x^3-25x^2+23x^2+115x-259x-1295$
$=x^3(x+5)-5x^2(x+5)+23x(x+5)-259(x+5)$
$=(x+5)(x^3-5x^2+23x-259)$
$=(x+5)(x^3-7x^2+2x^2-14x+37x-259)$
$=(x+5)[x^2(x-7)+2x(x-7)+37(x-7)]$
$=(x+5)(x-7)(x^2+2x+37)$