Question

Factor completely: 3x2 + 2x − 1

(3x + 1)(x − 1)

(3x + 1)(x + 1)

(3x − 1)(x + 1)

(3x − 1)(x − 1)

Answer 1

x² + 1/3x = 1/3 + (1/3)²
x² + 1/3x = (3 + 1)/9
(x + 1/3)² = 4/9
x + 1/3 = ± 2//3

= x + 1/3 - 2/3, = x - 1/3, = 3x - 1
= x + 1/3 + 2/3, = x + 3/3, = x + 1