Write quadratic polynomial having zeroes +2 and-3
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Step-by-step explanation:
Zeroes of a polynomial represents its roots.
Let α=2+
3
,β=2−
3
Sum of the roots: α+β=2+
3
+2−
3
=4
Product of the roots: αβ=(2+
3
)(2−
3
)=2
2
−(
3
)
2
=4−3=1
We know a polynomial can be written as x
2
−(sum of the roots)x+product of the roots=x
2
−4x+1
Hence the quadratic polynomial is x
2
−4x+1
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