4x2 - 3x - 1.


By splitting the middle term


4x2 - 3x - 1 = 0


4x2 - (4x - x) - 1 = 0


4x2 - 4x + x - 1 = 0


4x(x - 1) + (x - 1) = 0


(x - 1)(4x - 1) = 0


x = 1, - 1/4


Verification:


Sum of the zeroes = - (coefficient of x) ÷ coefficient of x2


α + β = - b/a


1 - 1/4 = - (- 3)/4


= 3/4 = 3/4


Product of the zeroes = constant term ÷ coefficient of x2


α β = c/a


1(- 1/4) = - 1/4


- 1/4 = - 1/4


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