What is the factored form of the polynomial?

x2 - 15x + 36

(x - 4) (x - 9)

(x - 3) (x - 12)

(x + 4) (x + 9)

(x + 3) (x + 12)

(x - 3) (x - 12)

Step-by-step explanation:

Given

x² - 15x + 36

Consider the factors of the constant term ( + 36) which sum to give the coefficient of the x - term ( - 15)

The factors are - 3 and - 12, since

- 3 * - 12 = + 36 and - 3 - 12 = - 15, hence

x² - 15x + 36 = (x - 3) (x - 12) ← in factored form

(x - 3) (x - 12) would be your answer