Question

If the zeros of the polynomial f(x) = 2x³ - 15x² + 37x - 30 are in A.P., find them.

Answer 1

 Let α = a - d, β = a and y = a + d are the zeros of the given polynomial.

Sum of the zeros

On substituting

Therefore zeros of the given equation are: 2, 3, \(\frac{5}{2}\)