Factor as a product of two binomials x2-x-72

(x - 9) (x + 8)

Step-by-step explanation:

Given

x² - x - 72

Consider the factors of the constant term ( - 72) which sum to give the coefficient of the x - term ( - 1)

the factors are - 9 and + 8, since

- 9 * 8 = - 72 and - 9 + 8 = - 1, thus

x² - x - 72 = (x - 9) (x + 8)