Find the quadratic polynomial whose sum and product of zeroes are 2+root 3and 2-root3
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Answer:
Step-by-step explanation:
Let the roots be α and β
α+β = -b/a = 2+ √3
α*β = c/a = 2-√3
Therefore
a = 1
b = -(2+√3)
c = 2-√3
Polynomial = ax² + bx + c
= x² - (2+√3)x + 2-√3
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