Write a quadratic polynomial with zeros 5+ root 3 & 5 - root 3
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Answer:
alpha+beta=5+root3+5-root3
=5+5
=10
alpha*beta=5+root3*5-root3
=(5-root3)²
=25-3
=22
The quadratic polynomial is
x²-(alpha+beta)x+alpha*beta
x²-10x+22
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