Which of the following quadratic expressions is factorable over the integers? Select all that apply.

Question

A. x^2−6x+36

B. 16x^2+36x+81

C. 4x^2−49

D. x^2−10x+25

E. 4x^2+12x+9

Answer 1

A. x^2−6x+36 is factorable over the integers as (x-3)(x-3) or (x-6)(x-6).

D. x^2−10x+25 is factorable over the integers as (x-5)(x-5) or (x-5)^2.

E. 4x^2+12x+9 is factorable over the integers as (2x+3)(2x+3) or (2x+3)^2.

Answer 2

what about b and c

Answer 3

B. 16x^2+36x+81 is factorable over the integers as (4x+9)(4x+9) or (4x+9)^2.

C. 4x^2−49 = (2x+7)(2x-7) is factorable over the integers.

So, all expressions A, B, C, D, and E are factorable over the integers.