Question

find the quadratic polynomial the sum and product of whose zeroes are 0and -√2 ​

Answer 1

Answer:

SUM OF ZEROES= ALPHA + BEETA = -B/A

= 0

PRODUCT OF ZEROES=ALPHA × BEETA=C/A

= - ROOT 2

HERE,

A=2 B=0 C=2 ROOT 2

HENCE THE EQUATION FORMED IS:-)

2X^2 + 2 ROOT 2