Factorise x squared + 22x - 75

(x + 25) (x - 3)

Step-by-step explanation:

Consider the factors of the constant term ( - 75) which sum to give the coefficient of the x - term ( + 22)

The factors are + 25 and - 3, since

25 * - 3 = - 75 and 25 - 3 = + 22, thus

x² + 22x - 75 = (x + 25) (x - 3) ← in factored form