Answer:
(- 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 )
