Question

Identify the trinomial that is not a perfect square.

A. 64x2 + 48x + 9
B. 25x2 + 70x + 49
C. 100x2 + 60x + 9
D. 121x2 + 100x + 25

Answer 1

Option D,
`121x^2 + 100x + 25`

Explanation:

Step 1: Determine the one that is not a perfect square

Factor Option A

`64x^2 + 48 + 9`

`(8x + 3)(8x + 3)`

`(8x + 3)^2`

Factor Option B

`25x^2 + 70x + 49`

`(5x + 7)(5x + 7)`

`(5x + 7)^2`

Factor Option C

`100x^2 + 60x + 9`

`(10x + 3)(10x + 3)`

`(10x + 3)^2`

Factor Option D

`121x^2 + 100x + 25`

Cannot factor this equation with rational number

Answer: Option D,
`121x^2 + 100x + 25`