Form the polynomial whose zeroes are
,
.
Given: The zeroes are
and
∴ Sum of the zeroes =
=
= 8/2 = 4
Product of the zeroes =
= 14/4 = 7/2
∴ The required polynomial is x 2 - (sum of the zeroes) x + Product of the zeroes
⇒ x 2 - (4) x + (7/2) or equivalently, 2x 2 - 8 x + 7 is the required polynomial.
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