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Answer:

-295/12

Step-by-step explanation:

Given polynomial is x² + 7x + 12.

Here a = 1, b = 7, c = 12

α,β are the zeroes of the polynomial.

(i) Sum of zeroes:

α + β = -(b/a)

α + β = -7

(ii) Product of zeroes:

αβ = c/a

αβ = 12

Now,

Given: (1/α) + (1/β) - 2αβ

= [(β + α)/αβ] - 2αβ

= (-7/12) - 2(12)

= -7/12 - (24)

= -(295/12)

Hope it helps