{x}^(2 )+3x + 2 = (x + 2) * (answer)

Question

`{x}^(2 )+3x + 2 = (x + 2) * (answer)`

Answer 1

x² + 3x + 2 = (x + 2)(x + 1)

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

These are + 2 and + 1

x² + 3x + 2 = (x + 2 )(x + 1)