# Factorization 7

### From Homeworkwiki

**1. Factor completely. If unfactorable, indicate that the polynomial is prime.**

**25x ^{2} – 60sy + 36y^{2}**

**Solution:** 25x^{2} – 60xy + 36y^{2}

= (5x)^{2} – 2.5x.6y + (6y)^{2}

= (5x – 6y)^{2}

**2. Factor completely. If unfactorable, indicate that the polynomial is prime.**

**6x ^{2} – 30x – 36**

**Solution:** 6x^{2} – 30x -36

= 6(x^{2} – 5x -6)

=6(x^{2} – 6x +x -6)

=6(x-6)(x+1)