
A.
(frac{25}{16}) 
B.
(frac{25}{64}) 
C.
(frac{5}{8}) 
D.
(frac{5}{4})
Correct Answer: Option A
Explanation
4x^{2} + 5x + Q
To make a complete square, the coefficient of x^{2} must be 1
= x^{2} + (frac{5x}{4}) + (frac{Q}{4})
Then (half the coefficient of x^{2}) should be added
i.e. x^{2} + (frac{5x}{4}) + (frac{25}{64})
∴ (frac{Q}{4}) = (frac{25}{64})
Q = (frac{4 times 25}{64})
= (frac{25}{16})