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If the polynomial f(x)=a x^3+b x-c is di...

If the polynomial `f(x)=a x^3+b x-c` is divisible by the polynomial `g(x)=x^2+b x+c` , then `a b=` (a) `1` (b) `1/c` (c) `-1` (d) `-1/c`

A

`c=2b^(2)`

B

ab=1

C

ac=2b

D

All of these

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