write the polynomial whose zero are 2+√3and 2-√3
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Hii friend,
(2-✓3) and (2+✓3) are the zero of the polynomial.
Let Alpha = (2-✓3) and Beta = (2+✓3)
Sum of zeros = (Alpha+ Beta) = (2-✓3) + (2+✓3) = 4
Product of zeros = (Alpha × Beta) = (2-✓3)(2+✓3) = (2)² - (✓3)² = 4-3 = 1.
Therefore,
QUADRATIC POLYNOMIAL = X²-(Alpha+Beta)X+Alpha × Beta.
=> X²-4X+1.
Hence,
Quadratic polynomial = X²-4X+1.
HOPE IT WILL HELP YOU.... :-)
(2-✓3) and (2+✓3) are the zero of the polynomial.
Let Alpha = (2-✓3) and Beta = (2+✓3)
Sum of zeros = (Alpha+ Beta) = (2-✓3) + (2+✓3) = 4
Product of zeros = (Alpha × Beta) = (2-✓3)(2+✓3) = (2)² - (✓3)² = 4-3 = 1.
Therefore,
QUADRATIC POLYNOMIAL = X²-(Alpha+Beta)X+Alpha × Beta.
=> X²-4X+1.
Hence,
Quadratic polynomial = X²-4X+1.
HOPE IT WILL HELP YOU.... :-)
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