Question

If the polynomial f(x) = ax³ + bx − c is divisible by the polynomial g(x) = x² + bx + c, then ab =

(a) 1
(b) $\frac{1}{c}$
(c) −1
(d) $-\frac{1}{c}$

Answer 1

We have to find the value of

Given is divisible by the polynomial

We must have

, for all x

So put x = 0 in this equation

Since , so

Hence, the correct alternative is _.