X^2-7x+10 = (x-5) (x-) what's the missing number

-2.

Step-by-step explanation:

The + 10 is the product of - 5 and the missing number:

+10 = - 5 * - 2.

(x - 2)

Step-by-step explanation:

Given the quadratic

x² - 7x + 10

To factor consider the factors of the constant term ( + 10) which sum to give the coefficient of the x - term ( - 7)

The factors are - 5 and - 2 since

- 5 * - 2 = + 10 and - 5 + ( - 2) = - 7, thus

x² - 7x + 10 = (x - 5) (x - 2)