Question

find a quadratic polynomial each With the given number as sum and product of its zeroes of 0,√5​

Answer 1

Answer:

(alpha+beta)=0

alpha×beta=root5

hence

xsquare _(alpha+beta)+ alpha×beta=0

xsquare-0+(alpha×beta)

=xsquare +root5

Answer 2

So, suppose a and b are the roots of this polynomial,

then a+b=0 and a*b=root 5,

a+b is -b/a, which is 0,

and a*b= c/a which is root 5,

so, you can assume that coefficient of a=1,

General polynomial ax^2+bx+c,

here a=1, C=root 5

so, answer is X^2 - 5^1/4.