What value of c makes x2 - 12x + c a perfect square trinomial?

Question

asked Jan 20, 2021 28.3k views

2 Answers

Tachibana Shin · Answer 1 · 2021-01-25T19:39:36+0000

Answer:

c = 36

Explanation:

To create a perfect square trinomial.

Add (half the coefficient of the x- term)² to x² - 12x

x² + 2(- 6) + (- 6)²

= x - 12x + 36, thus

x² - 12x + 36

= (x - 6)²