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)

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