Question

Which of the following represents the factorization of the trinomial below?

x²- 24x+144
O A. (x+12) (x-12)
OB. (x-12)²
O C. (x+12)²
O D. (x-12)(x-2)

Answer 1

B

Explanation:

Given :

x² - 24x + 144

Splitting the middle term :

x² - 12x - 12x + 144

x (x - 12) - 12 (x - 12)

(x - 12) (x - 12)

(x - 12)²

Answer 2

B

Explanation:

x² - 24x + 144

consider the factors of the constant term (+ 144) which sum to give the coefficient of the x- term (- 24)

the factors are - 12 and - 12 , since

- 12 × - 12 = + 144 and - 12 - 12 = - 24 , then

x² - 24x + 144 = (x - 12)(x - 12) = (x - 12)²