Question

find the sum of zeros and product of zeros of the 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 = $\sf{\pm}$√3

⠀⠀⠀$\sf{\alpha}$ =√3 and $\sf{\beta}$ = -√3

• Sum of zeroes = √3 - √3 = 0

• Product of zeroes = √3 × (-√3) = -3

⠀⠀Hence, verified.

Answer 2

Answer:

1. find the sum and the product of zero of polinomial 2x3-6x2-14x+8