Let \( a, b, c \) be positive integers in arithmetic progression such that the equation \( ax^2 + bx + c = 0 \) has only integer solutions.Then which of the following statements is (are) TRUE?
\( c - b \) is an integer multiple of \( a \)
Both the roots of the equation \( ax^2 + bx + c = 0 \) are odd integers
If \( c = 15 \), then \( ab = 8 \)
If \( b = 8 \), then \( x = 3 \) is a root of the equation \( ax^2 + bx + c = 0 \)