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Zinaida [17]
3 years ago
8

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

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0
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
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The answer digit in the tenths place is less than 5, so we round down to the next lower foot.

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If you have your calculator set to show only two decimal digits, you will get the wrong answer. Your calculator will show you 47.50, which you would appropriately round to 48.

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