Answer
($x^{6}$ +5)($x^{6}$ -24)
Work Step by Step
Given the polynomial
$x^{12}$ - 19$x^{6}$ - 120
We rewrite it as $ax^{2}$ + bx + c
$(x^{6})^{2}$ - 19$x^{6}$ - 120
-19= 5-24
-120=5 * -24
*** We break of the middle term into two factors that add to give -19 and multiply to give -24. The two numbers are -24 and +5.
$(x^{6})^{2}$ - 24$x^{6}$ + 5$x^{6}$ - 120
We take the GCD of the first two and the GCD of the last two terms.
($x^{6}$ +5)($x^{6}$ -24)
