Question

find a quadratic polynomial sum and product of whose zeroes are -4 and root 9 respectively

Answer 1

x²-(sum of roots )x+(product of roots)

x²-(-4x)+√9

x²+4x+√9 is the required polynomial

I hope this will help u ;)

Answer 2

Let the zeros be a and b.
so, a + b=-4
a × b = root 9
Now, the required polynomial will be
x^2 - (a + B )X + a × b
x^2 - (-4)X + root 9
x^2 + 4x + root 9