Question

find the zeros of the polynomial x2- 3 and verify the relationship between the zeros and the cofficients

Answer 1

x²-3=0
x²=3
x=+√3 or -√3
Verification:-
x²-3
=(√3)²-3
=3-3
=0
x²-3
=(-√3)²-3
=3-3
=0

Answer 2

x²-3 = 0

x² = 3

x = ±√3

Therefore, the zeroes of the given polynomial are √3 and -√3.

Relationship between the zeroes and coefficients :-

Sum of zeroes = √3+(-√3) = √3-√3
= 0 = -x coefficient/x² coefficient

Product of zeroes = (√3)(-√3)
= -(√3)² = -3/1 = constant/x² coefficient

Hope it helps