Question

find the quadratic polynomial whose sum and product of the zeros are √2 and -√2​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

x² - √2 x - √2

Step-by-step explanation:

general form of a quadratic polynomial is

p(x)= k [ x² - (α+β) x + αβ ]  where 'α+β' & 'αβ'are the sum & product of the zeros respectively and 'k' is a constant

therefore

p(x)= k [ x² - √2 x +(-√2)]

taking k=1 we get

p(x) = 1 [ x² - √2 x - √2]

p(x) = x² - √2 x - √2