Factor the following trinomial completely 3x^2+12x+12

Question

Kasey Holder

Mathematics

29 June, 18:22

Factor the following trinomial completely 3x^2+12x+12

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Answers (1)

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Chandler Ross · Answer 1

Factor the following:

3 x^2 + 12 x + 12

Factor 3 out of 3 x^2 + 12 x + 12:

3 (x^2 + 4 x + 4)

The factors of 4 that sum to 4 are 2 and 2. So, x^2 + 4 x + 4 = (x + 2) (x + 2):

3 (x + 2) (x + 2)

(x + 2) (x + 2) = (x + 2) ^2:

Answer: 3 (x + 2) ^2