Find the zeroes of the quadratic polynomial 4x^2-3x+5 and verify the relationship between zeroes and coefficients.
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4x2 - 3x - 1
= 4x2 - 4x + x - 1
= 4x (x - 1) + (x - 1)
= (4x + 1)(x - 1)
4x + 1 = 0 or x - 1 = 0
x = -1/4 or x = 1
Sum of zeroes=1 - 1/4 = 3/4
Product of zeroes = 1(-1/4) = -1/4
Hence verified.
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