find the quadratic ploynomial whose zeros are (2+√3) and (2-√3)
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Step-by-step explanation:
id 872 908 7123
Pas 100700
Answered by
1
answer:
=x2−4x+1
Step-by-step explanation:
The zeros are 2+3 and 2−3
Let the quadratic polynomial be (x−r1)(x−r2)where r1 and r2 are the zeros of the polynomial.
Thus the polynomial is
[x−(2+3)][x−(2−3)]
=(x−2−3)(x−2+3)
=(x2−2x+3x−2x+4−23−3x+23−3)
=x2−4x+1
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