Question

find the sum and product of zeros of the polynomial 2xsquare-5x-2, without finding zeros​

Answer 1

Answer:

a + b = 5 / 2     and      ab = -1

Step-by-step explanation:

Given equation:   2x^2 - 5x - 2

To find: Sum of roots and Product of roots

Solution:

Let, roots of the equation be a and b.

Given equation can be written as

2x^2 - 5x - 2

Dividing by coefficient of x^2 ,

x^2 - (5/2)x - (2/2)

= x^2 - (5/2)x - 1  ---> (1)

General form of quadratic polynomial

x^2 - (sum of roots)x + (product of roots)

= x^2 - (a + b)x + (ab)    ---> (2)

From (1) and (2),

a + b = 5 / 2     and      ab = -1

Hope it is useful...