If the polynomial f(x) = ax^{3} + bx - c is divisible by the polynomial g(x) = x^{2}+bx+c, then ab =

a) 1 b) 1/c c) -1 d) -1/c

also, in the above question c =

a) b b) 2b c)2b^{2} d) -2b

a) b b) 2b c) 2b2 d) -2b

Consider, division of *f*(*x*) = *ax*^{3} + *bx* – *c *by *g*(*x*) = *x*^{2} + *bx + c,*

Since* f(x) *is divisible by *g*(*x*), remainder must be zero i.e.,

Consider,

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