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30c2 + 17ck - 35k2 = (6c - 5k)(5c + 7k)
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Prime factorization refers to integers.
(x + 5)(x + 2)
4x2 + 12x + 5 = (2x + 1)(2x + 5).
3x2 + 10x + 3 = (x + 3)(3x + 1).
5x2 + 9x + 4 = (x + 1)(5x + 4).