Question

Solve the quadratic equation using factoring x^2 + 3x + 2 = 0.

x = 1, x = 2
x = −1, x = −2
x = 1, x = 3
x = −1, x = −3

Answer 1

B

Explanation:

Given

x² + 3x + 2 = 0

To factor the quadratic

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)

The factors are 2 and 1, since

2 × 1 = 2 and 2 + 1 = 3, thus

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

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 1 = 0 ⇒ x = - 1