What is the factored form of x^2 - 10x + 21?

Answer: The factored form of x^2 - 10x + 21 is (x-7) (x-3)

(x - 7) (x - 3)

Step-by-step explanation:

Given

x² - 10x + 21

Consider the factors of the constant term ( + 21) which sum to give the coefficient of the x - term ( - 10)

The factors are - 7 and - 3, since

- 7 * - 3 = + 21 and - 7 - 3 = - 10, thus

x² - 10x + 21 = (x - 7) (x - 3)