The zeroes of a polynomial $x^2 + px + q$ are twice the zeroes of the polynomial $4x^2 - 5x - 6$. The value of $p$ is:

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Step 1: Zeroes of $4x^2 - 5x - 6$: sum $= \frac{5}{4}$
If zeroes of $x^2 + px + q$ are twice, sum of new zeroes $= 2 	imes \frac{5}{4} = \frac{5}{2}$
Sum of zeroes $= -p = \frac{5}{2} \Rightarrow p = -\frac{5}{2}$

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