71.9k views
2 votes
Factoring Completely:
x^2-16x+48

User Lysol
by
6.9k points

1 Answer

4 votes

Answer:

(x - 12)(x - 4)

Explanation:

Given

x² - 16x + 48

Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 16)

The factors are - 12 and - 4, since

- 12 × - 4 = + 48 and - 12 - 4 = - 16 , thus

x² - 16x + 48 = (x - 12)(x - 4) ← in factored form

User Matthew McCullough
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.