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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