Question

find the zeroes of 3x^2 + 7x + 2 and verify the relation between zero and coefficient​

Answer 1

Step-by-step explanation:

3x² + 7x + 2 = 0

3x² + 6x + x + 2 = 0

3x(x + 2) + 1(x + 2) = 0

(x + 2)(3x + 1) = 0

Zeroes are -2 & -⅓

α = -2, β = -⅓

a = 3, b = 7, c = 2

α + β = -2 + (-⅓) = -2 - ⅓ = -7/3

and α + β = -b/a = -7/3

αβ = (-2)(-⅓) = ⅔

and αβ = c/a = ⅔