## Algebra 1

Given the polynomial $49p^{2}$ + 63pq - $36q^{2}$ *** We break of the middle term into two factors that add to give +63 and multiply to give -1764. The two numbers are +84 and -21. $49p^{2}$ + 84pq - 21pq - $36q^{2}$ We take the GCD of the first two and the GCD of the last two terms. 7p(7p+12q)-3q(7p+12q) We take (7p+12q) and factor it out which gives us. (7p+12q)(7p-3q)