If 2x + 7 is a factor of 6x^3 + 29x^2 + cx + 35, find c.
If 2x + 7 is a factor....then -7/2 is a root
Using synthetic division.....
-7/2 [ 6 29 + c + 35 ]
-21 - 28 -7/2 c + 98
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6 8 c - 28 133 - 7/2 c
133 - 7/2 c = 0
133 = 7/2 c
133 ( 2/7) = c = 38