Question

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

Answer 1

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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:

$x^2 – (0 + √5)x + 0(√5)$

$⇒ x^2 – √5x$

Answer 2

Answer:

Step-by-step explanation:

Sum of zeroes = 0

Product of zeroes = √5

Polynomial = x^2 - (Sum of zeroes)x + Product of zeroes

= x^2 - (0)x + √5

= x^2 - 0 + √5

= x^2 + √5

This is the required answer. Please mark it as brainliest.