Question

A quadratic polynomial sum and product of whose zeroes are 0 and - 2 , respectively is

Answer 1

Answer:

Step-by-step explanation:

Given that,

Sum of the zeroes = ( α + β ) = 0 and

Product of the zeroes = ( αβ ) = - 2

α and β are the zeroes of the quadratic equation ax²+ bx + c = 0 ,

Then the equation is

x² - ( α + β )x + αβ = 0

x² - ( 0 ) x + ( - 2 ) =0

x² - 0 - 2 = 0 ( ∵ + × - = - )

x² - 2 = 0 is the required equation.

Answer 2

Answer:

Step-by-step explanation:.