Mathematics

Problem

Let

p(x)

be the cubic polynomial

7x^3 - 4x^2 + K

. Suppose the three zeroes of

p(x)

form an arithmetic progression. Then the value of

K

, is - (A)

\frac{4}{21}

(B)

\frac{16}{147}

(C)

\frac{-128}{9261}

(D)

\frac{128}{1323}