Question

Determine the missing term from the perfect square trinomial. Show ALL work. x2 − ______+ 36

Answer 1

12x

Explanation:

Given the perfect square trinomial:
`x^2-()+36`

Written in the form
`(x+k)^2`

`x^2-()+36=x^2-()+6^2=(x-6)^2`

`(x-6)^2=(x-6)(x-6)\\=x^2-6x-6x+36\\=x^2-12x+36`

The missing term therefore is 12x.