Question

find a quadratic polynomial the sum and product of whose zeroes are and -√2 respectively​

Answer 1

Answer:

x^2 + √2x -√2

Step-by-step explanation:

Given  [ α + β = -√2 ] & [ α * β = -√2 ]

k ( x^2 - (α + β)x + α * β )

k ( x^2 - (-√2)x + (-√2) )

k ( x^2 + √2 x - √2 )

Let K be 1

x^2 + √2 x - √2