Question

Example 3 : Find the zeroes of the polynomial x²- 3 and verify the relationship
between the zeroes and the coefficients.​

Answer 1

Step-by-step explanation:

x²-3 = 0

x= 3

x= ±√3 (zeros = +√3, -√3)

here, we can x²- 3 as x²+0x-3

so coefficient of x² = 1

coefficient of x = 0

constant term = -3

now we know that-

1) sum of zeros = -coefficient of x/coefficient of x²

+√3 -√3 = 0/1

0=0

both sides are equal hence it verifies the above condition

2) product of zeros = constant term/coefficient of x²

+√3*-√3 = -3/1

-3 = -3

both sides are equal hence it verifies the above condition

I m not sure about the answer so u can recheck it.