Let f(x)=ax3+5×2−bx+1 .If f (x) when divided by 2x +1 leaves 5 as remainder, and f (x) is divisible by 3x -1, then

# Let $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{ax}}^{3}+5{\mathrm{x}}^{2}-\mathrm{bx}+1$ .If f (x) when divided by 2x +1 leaves 5 as remainder, and f (x) is divisible by 3x -1, then

1. A

$a=26,b=10$

2. B

3. C

$a=26,b=12$

4. D

$a=-6,b=4$

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### Solution:

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