From a quadratic polynomial whose zeros are 5+underroot3 and 5-underroot3
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Answer:
x²-10x+22=0
Step-by-step explanation:
A polynomial with roots (Let's take roots as α and β) α and β looks like
x²-(α+β)x+αβ=0.
By taking α=5+√3 and β=5-√3 we get the polynomial as
x²-(5+√3+5-√3)+(5+√3)(5-√3)=0
x²-(10)x+(5²-(√3)²)=0
x²-10x+25-3=0
x²-10x+22=0
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