Question

find zeros of x square - 5 and verify the relation​

Answer 1

Polynomial

➵ p(x) = x² - √5²

➵ 0 = (x - √5)(x + √5)

➵ x = √5 and - √5

Sum = √5 + (- √5) = 0

Product = √5 × (- √5) = - 5

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Polynomial  can be written as x² + 0x - 5.

➵ Sum of zeros = Coefficient of x/Coefficient of x²

➵ Product of zeros = Constant Term/Coefficient of x²

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➵ Sum of zeros = 0/1 = 0

➵ Product of zeros = - 5/1 = - 5

Hence relation verified

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Note :

Coefficient of x² = 1

Coefficient of x = 0

Constant Term = - 5