X squared plus 5x plus 6 in a factor of binomials

(x + 3) (x + 2)

Step-by-step explanation:

Given

x² + 5x + 6

Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x - term ( + 5)

The factors are + 3 and + 2, since

3 * 2 = 6 and 3 + 2 = 5, thus

x² + 5x + 6 = (x + 3) (x + 2)