findaquadraticpolynomialwewhosezeroes are3+ root 2 multiple 3_ root 2
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Hii friend
3+✓2 and 3-✓2 are the two zeros of the polynomial.
Let Alpha = 3+✓2 and Beta = 3-✓2
Sum of zeros= (Alpha + Beta) = (3+✓2+3-✓2) = 6
Product of zeros = (Alpha × Beta) = (3+✓2)(3-✓2) = (3)² - (✓2)² = 9-4 = 5
Therefore,
The required polynomial = X²-(Alpha+Beta)X+Alpha × Beta
=> X²-(6)X+5
=> X²-6X+5.
Hence,
The polynomial = X²-6X+5
HOPE IT WILL HELP YOU..... :-)
3+✓2 and 3-✓2 are the two zeros of the polynomial.
Let Alpha = 3+✓2 and Beta = 3-✓2
Sum of zeros= (Alpha + Beta) = (3+✓2+3-✓2) = 6
Product of zeros = (Alpha × Beta) = (3+✓2)(3-✓2) = (3)² - (✓2)² = 9-4 = 5
Therefore,
The required polynomial = X²-(Alpha+Beta)X+Alpha × Beta
=> X²-(6)X+5
=> X²-6X+5.
Hence,
The polynomial = X²-6X+5
HOPE IT WILL HELP YOU..... :-)
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