The value of 'p' for which x = -1/2 is a root of the equation 4x^2 - 3px - p = 0
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By factor theorem,
since x= -1/2 is a root
polynomial p(x)= 4x^2 - 3px - p =0
Now put X = -1/2 in p(x)
p(-1/2) = 4(-1/2)^2 -3p(-1/2) -p =0
> 4*(-1)^2/2^2 - 3p(-1/2) - p =0
> 4*1/4 +3/2p -p =0
> 1 + 1/2p =0
> 1/2p = -1
> p = -2 ans.
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