Factorization 7

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

25x² – 60sy + 36y²

Solution: 25x² – 60xy + 36y²

= (5x)² – 2.5x.6y + (6y)²

= (5x – 6y)²

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

6x² – 30x – 36

Solution: 6x² – 30x -36

= 6(x² – 5x -6)

=6(x² – 6x +x -6)

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