Question

A quadratic polynomial whose sum and product of zeroes are 0 and 5 is :-
(options are mentioned in photo)​

Answer 1

Answer:

Step-by-step explanation:

let α and β be zeroes of Quadratic polynomial.

QUADRATIC POLYNOMIAL=x²-(α+β)x +(α×β)

=x²-0x+5

=x²+5

OPTION B IS CORRECT .

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Answer 2

Answer:

(b) x² + 5.

Step-by-step explanation:

If α, β are the roots of a quadratic equation then the quadratic equation can be written as x² - (α + β)x + αβ = 0.

Given sum of two roots(α+β) is,

product(αβ) is 5.

Therefore the quadratic equation can be written as x² -(0)x + 5 = 0

x² + 5 = 0.