Question

Given that A {0, 2, 4? $ 2​

Answer 1

Answer:

The quadratic polynomial is $x^2-2$

Step-by-step explanation:

Given that the quadratic polynomial has zeros $\sqrt{2}$ and $-\sqrt{2}$ .

That means $x-\sqrt{2}$ and $x+\sqrt{2}$ are linear factors of the polynomial. We get the polynomial by multiplying its linear factors.  So the polynomial is

$(x-\sqrt{2})(x+\sqrt{2})=x^2 -\sqrt{2}x+\sqrt{2}x-\sqrt{2}\sqrt{2}=x^2-2$

Hence the quadratic polynomial is $x^2-2$