Question

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

Answer 1

(x - 7)(x - 3)

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)

Answer 2

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