What are the coordinates of the root of the equation x^2+4x+3=0

( - 3, 0) and ( - 1, 0)

Step-by-step explanation:

Given

x² + 4x + 3 = 0 ← in standard form

(x + 1) x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 3 = 0 ⇒ x = - 3

coordinates of the roots are ( - 3, 0) and ( - 1, 0)