Question

find a quadratic polynomial each with the given number as the sum and product of its zeros respectively: 0,√5​

Answer 1

Answer:

required polynomial =x^2-Sx+P( where s is the sum and p is the product )

=> x^2-0.x+√5

=x^2+√5

which is the required polynomial

Answer 2

Answer:

given sum of zeroes =0. denote this as S

and product of zeroes /=

$\sqrt{5}$

denote this as S

we know that a quadratic equation formed by x^2-Sx+P

now put values

$x {}^{2} - 0x + \sqrt{5} \\ equation \: = x {}^{2} + \sqrt{5}$

.........hope it will be helpful