Find a quadratic polynomial whose zeroes are 3+√5 and 3-√5
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Step-by-step explanation:
The quadratic polynomial with α and β as zeroes is x2 − (α + β)x + (αβ) Given zeroes of the polynomial are 3+√5 and 3-√5 Hence the quadratic polynomial is: x2 − (3+√5 + 3 −√5)x + (3+√5)(3 −√5) = x2 − 6x + (9 −5) = x2 − 6x + 4 Thus the quadratic polynomial is ( x2 − 6x + 4).
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The quadratic polynomial whose zeroes are,
where k is any non-zero real no.
THE QUADRATIC POLY POLYNOMIAL WHOSE ZEROES ARE
so, the QUADRATIC polynomial is
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