Question

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 0,root 5

Answer 1

Answer:

the polynomial is x^2 + √5 = 0

Answer 2

Answer:

$x^2+\sqrt{5} =0$

Step-by-step explanation:

If alpha and beta are the zeroes of the polynomial, than the quadratic polynomial is $x^2-$(α+β)$x$+αβ.

Given,

α+β=0

αβ=√5

∴The required polynomial is $x^2-(0)x+\sqrt{5}$

                                           = $x^2+\sqrt{5} =0$

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