Question

find a quadratic polynomail whose sum and product of zero are 0 and √5​

Answer 1

Answer:

x²-(sum of roots)+(product of roots)

x²-0x+√5

x²+✓5

Answer 2

Answer:

The sum of the zeroes (α +β) = -b/a = 0

Product of the zeroes (αβ) = c/a = √5

Therefore,

The polynomial becomes

= k [ x² - ( α+β)x + αβ]

= k [x² - 0x + √5] ( where k is constant)

= x² + √5

So , the quadratic polynomial is x² + √5