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3 years ago

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

Mathematics

1 answer:

Sedaia [141]3 years ago

5 0

Answer:

Step-by-step 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

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