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

x^2 + 24x + 144

A. (x+12) (x-12)

B. (x+12) ^2

C. (x-12) (x-2)

D. (x-12) ^2

Question

Mathematics

Deegan Obrien

24 December, 05:49

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

x^2 + 24x + 144

A. (x+12) (x-12)

B. (x+12) ^2

C. (x-12) (x-2)

D. (x-12) ^2

+2

Answers (1)

Know the Answer?

Carlee Larsen · Answer 1

B

Step-by-step explanation:

x² + 24x + 144 ← is a perfect square trinomial of the form

(x + b) ² = x² + 2bx + b²

Comparing the coefficients gives

b² = 144 ⇒ b = 12 and 2b = 2 * 12 = 24, thus

x² + 24x + 144 = (x + 12) ² → B

Which of the following represents the factorization of the trinomial below?x^2 + 24x + 144A. (x+12) (x-12)B. (x+12) ^2C. (x-12) (x-2)D. (x-12) ^2

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

x^2 + 24x + 144

A. (x+12) (x-12)

B. (x+12) ^2

C. (x-12) (x-2)

D. (x-12) ^2