write the polynomial whose zeroes are 2+√3and 2-√3.
Answers
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Answer:
x
2
−4x+1
Step-by-step explanation:
The zeros are 2+
3
and 2−
3
Let the quadratic polynomial be (x−r
1
)(x−r
2
) where r
1
and r
2
are the zeros of the polynomial.
Thus the polynomial is
[x−(2+
3
)][x−(2−
3
)]
=(x−2−
3
)(x−2+
3
)
=(x
2
−2x+
3
x−2x+4−2
3
−
3
x+2
3
−3)
=x
2
−4x+1
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