If the sum of the zeroes of the cubic polynomial 4x3−kx2−8x−12 is −34, then the value of ‘k’ is
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A cubic polynomial has 3 zeroes.
For convenience instead of alpha, beta, and gamma, I will name them p, q, and r respectively.
From our polynomial, a = 4, b = -k, c = -8 and d= -12
So, p + q + r = -b/a = -(-k)/4 = k/4
Also given: p + q + r = -34
So, k/4 = -34
k = -34 x 4 = -136
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