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)