## Algebra 1

Given the polynomial $s^{2}$ - 10st - $75t^{2}$ *** We break of the middle term into two factors that add to give -10 and multiply to give -75. The two numbers are -15 and +5. $s^{2}$ - 15st + 5st - $75t^{2}$ We take the GCD of the first two and the GDC of the last two terms. s(s-15t) +5t(s-15t) We take (s-15t) and factor it out which gives us. (s-15t)(s+5t)