If (a ‒ b), a and (a + b) are zeros of the polynomial 2x^{3} ‒ 6x^{2} + 5x – 7, write the value of a.

It is given in the question that, zero of the polynomial 2x^{3} – 6x^{2} + 5x - 7 is (a – b), a and (a + b)

Now by using the relationship between the zeros of the quadratic polynomial we have:

Sum of zeros =

a – b + a + a + b = (- (-6))/2

3a = 3

a = 1

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