## Algebra 1

($x^{6}$ + 5)($x^{6}$ + 7)
We write the polynomial ($x^{6}$)$^{2}$ + $12x^{6}$ + 35 *** We break of the middle term into two factors that add to give +12 and multiply to give +35. The two numbers are +5 and +7. ($x^{6}$)$^{2}$ + $5x^{6}$ + $7x^{6}$ + 35 We take the GCD of the first two and the GDC of the last two terms. $x^{6}$($x^{6}$ + 5) + 7 ($x^{6}$ + 5) We take ($x^{6}$ + 5) and factor it out which gives us. ($x^{6}$ + 5)($x^{6}$ + 7)