Find a quadratic polynomial one of whose zeroes is (2 − √3) and sum of the zeroes is 4
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Explanation:
One root α=2+
5
and another say β
Sum of roots=α+β=4
⇒2+
5
+β=4
⇒β=2−
5
Polynomials, p(x)=(x−2−
5
)(x−2+
5
)
p(x)=x
2
−4x−1
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