Question

find a quadratic polynomial each with the sum of zeroes -8/3 and product of it's zeroes 4/3. find zeroes of polynomial with factorisation method. ​

Answer 1

Step-by-step explanation:

(i) Let α and β are the zeroes of the quadratic polynomial ax2 + bx + c.

Given, α + β = 1/4 = -b/a

and α * β = -1 = -4/4 = c/a

On comparing, we get

a = 4, b = -1, c = -4

Hence, the required quadratic polynomial is 4x2 - x - 4.