Factoring as a product of two binomials x2+10x+24

(x + 6) (x + 4)

Step-by-step explanation:

Given

x² + 10x + 24

Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x - term ( + 10)

The factors are 6 and 4, since

6 * 4 = 24 and 6 + 4 = 10, thus

x² + 10x + 24 = (x + 6) (x + 4)

That can be factored to:

(x+6) (x+4)