Question

Find a quadratic polynomial, the sum and product of whose zeroes are 0 and -√2 respectively

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$x^{2}$ - $\sqrt{2}$

Step-by-step explanation:

α + β = $\frac{-b}{a}$ = 0 ⇒ $\frac{0}{1}$

αβ = $\frac{c}{a}$ = -$\sqrt{2}$ ⇒ $\frac{-\sqrt{2} }{1}$

a = 1 , b = 0 , c = -$\sqrt{2}$

answer : $x^{2}$ - $\sqrt{2}$