Answer :

The zeroes are ,

∴ Sum of the zeroes = + = 4

Product of the zeroes = ×

= (2) ^{ 2 } –

= 4 – ½

= 7/2

∴ The required polynomial is:

x ^{ 2 } - (sum of the zeroes) x + Product of the zeroes ⇒ x ^{ 2 } - (4)x + (7/2)

∴ x ^{ 2 } - 4x + (7/2) or equivalently, 2x ^{ 2 } - 8x + 7 is the required polynomial.

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