What are the coordinates of the roots of the equation X squared plus 4X +3 equals zero

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

Step-by-step explanation:

Given

x² + 4x + 3 = 0

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

The factors are + 3 and + 1, since

3 × 1 = 3 and 3 + 1 = 4, thus

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

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 1 = 0 ⇒ x = - 1

Coordinates of roots are (- 3, 0 ) and (- 1, 0 )