Question

zero
Example 3 : Find the zeroes of the polynomial x square -
3 and verify the relationship between the zeroes and the coefficients.x ​

Answer 1

Answer:

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