Factorization 6

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

36 – (x + 3y)2

Solution: 36 – (x + 3y)2

= (6)2 - (x + 3y)2

= (6 – x – 3y) (6 + x + 3y)

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

25k2 – 121 m2

Solution: 25k2 -121m2

= (95k)2 – (11m)2

= (5k +11m)(5k-11m)

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

z2 – 100

Solution: z2 – 100

= z2 – 102

=(z+10) (z-10)

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