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)