Question

find the polynomial whose zeros are 2+√5/2 and 2-√5/2​

Answer 1

The total of zeros = 2 + √5/2 + 2 - √5/2

= 4.

The product of zeros = (2+√5/2) (2-√5/2)

= 4 - 5/4

= 11/4.

so,

The polynomial = x² - 4x + 11/4

= 4x² - 16x + 11.

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