Question

Factor k2 – 10k + 24.
The factored expression is

Answer 1

(k - 6)(k - 4)

Explanation:

Given

k² - 10k + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the k- term (- 10)

The factors are - 6 and - 4, since

- 6 × - 4 = + 24 and - 6 - 4 = - 10 , thus

k² - 10k + 24 = (k - 6)(k - 4) ← in factored form