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Find the quadratic polynomial if its zeroes are 0, √5.

Find the quadratic polynomial if its zeroes are 0, √5.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

A quadratic polynomial can be written using the sum and product of its zeroes is:

x^2– (α + β)x + αβ

Where α and β are the roots of the polynomial.

Here, α = 0 and β = √5

So, the polynomial will be:

x^2– (0 + √5)x + 0(√5)

⇒ x^2– √5x

Thanks

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