Question

Find a quadratic polynomial with 0,5 as the sum and product. of it’s zeroes respectively

Answer 1

Hello Dear,
As per question -
Sum- 0
Product- 5

Formula of quadratic equation-
x^2-(Sum of roots)x+(Product of roots) =0
x^2-(0)x+(5)=0
x^2+5=0

Hope this will help you!

Answer 2

Sum of roots = 0
Product of roots = 5

Therefore,
Quadratic equation = x^2 + (Sum of roots)x + product of roots
= x^2 + (0)x + 5
=x^2 + 5

Therefore,
Equation = x^2 + 5

(Sorry, because am not able to give proper x degree symbol )