Factor the following:
35 k^3 + 42 k^2 + 25 k + 30
Factor terms by grouping. 35 k^3 + 42 k^2 + 25 k + 30 = (35 k^3 + 42 k^2) + (25 k + 30) = 7 k^2 (5 k + 6) + 5 (5 k + 6):
7 k^2 (5 k + 6) + 5 (5 k + 6)
Factor 5 k + 6 from 7 k^2 (5 k + 6) + 5 (5 k + 6):
=(5k + 6) (7k^2 + 5)