Question

Find the quadratic polynomial whose zeroes are +root2 and -root2​

Answer 1

Answer:

x²-2

Step-by-step explanation:

zeroes = +√2, -√2

Sum of zeros = +√2-√2 = 0 = -b/a

Product of roots = +√2(-√2) = -2 = c/a

On comparing,

a = 1, b = 0 and c = -2

General form of a quadratic polynomial

= ax²+bx+c

Required quadratic polynomial:-

= x²+0x-2

= x²-2

HOPE IT HELPS !!