Question

If the product of two zeros of the polynomial f(x) = 2x³ + 6x² − 4x + 9 is 3, then its third zero is

(a) $\frac{3}{2}$
(b) $-\frac{3}{2}$
(c) $\frac{9}{2}$
(d) $-\frac{9}{2}$

Answer 1

Let be the zeros of polynomial such that

We have,

Putting in, we get

Therefore, the value of third zero is.

Hence, the correct alternative is.