Question

Find the sum and
product of the zeroes
of polynomial x²-√3​

Answer 1

Answer:

The sum of zeroes is 0 and the product of zeroes is -3.

Given:

The given polynomial is x² - 3

To find:

Sum and product of zeroes of the polynomial.

Solution:

The given quadratic polynomial is x² - 3

Here, a = 1, b = 0 and c = - 3

Sum of zeroes = -b/a

⠀⠀>> Sum of zeroes = 0/1 = 0

Product of zeroes = c/a

⠀⠀>> Product of zeroes = -3/1 = -3

The sum of zeroes is 0 and product of zeroes is -3.

_________________________________

Verification:

⠀⠀⠀⠀x² - 3 = 0

⠀⠀>> x² = 3

⠀⠀>> x = √3

⠀⠀⠀ =√3 and  = -√3

Sum of zeroes = √3 - √3 = 0

Product of zeroes = √3 × (-√3) = -3

⠀⠀Hence, verified.