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26 October, 16:01

Factor: 15c^2 + 37c + 20

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Answers (1)
  1. 26 October, 18:51
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    (5 c + 4) (3 c + 5)

    Step-by-step explanation:

    Factor the following:

    15 c^2 + 37 c + 20

    Factor the quadratic 15 c^2 + 37 c + 20. The coefficient of c^2 is 15 and the constant term is 20. The product of 15 and 20 is 300. The factors of 300 which sum to 37 are 12 and 25. So 15 c^2 + 37 c + 20 = 15 c^2 + 25 c + 12 c + 20 = 5 (5 c + 4) + 3 c (5 c + 4):

    5 (5 c + 4) + 3 c (5 c + 4)

    Factor 5 c + 4 from 5 (5 c + 4) + 3 c (5 c + 4):

    Answer: (5 c + 4) (3 c + 5)
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