## Algebra 1: Common Core (15th Edition)

($x^{6}$+5)($x^{6}$-24)
Rewrite the given polynomial into $ax^{2}$+Bx+c form to get ($x^{6}$$)^{2}-19x^{6}-120 . Factor out: (x^{6}$$)^{2}$-24x$^{6}$+$5x^{6}$-120 -break out the middle number by finding what numbers add up to -19 and multiply to give -120.The numbers are -24 and 5. (($x^{6}$$)^{2}$-24$x^{6}$)+($5x^{6}$-120) -find the GCD of the first two and last two terms- $x^{6}$($x^{6}$-24)+5($x^{6}$-24) -take ($x^{6}$+5) and factor it out- The factored expression is ($x^{6}$+5)($x^{6}$-24)