Find the zeroes of the polynomial $4x^2 + 4x - 3$ and verify the relationship between zeroes and coefficients of the polynomial.

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Step 1: $P(x) = 4x^2 + 4x - 3 = (2x + 3)(2x - 1)$
Step 2: Zeroes are $\frac{-3}{2}$ and $\frac{1}{2}$
Step 3: Sum of zeroes $= \frac{-3}{2} + \frac{1}{2} = -1 = \frac{-4}{4} = \frac{-(	ext{coefficient of } x)}{	ext{coefficient of } x^2}$ ✓
Step 4: Product of zeroes $= \frac{-3}{2} 	imes \frac{1}{2} = \frac{-3}{4} = \frac{	ext{constant term}}{	ext{coefficient of } x^2}$ ✓

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