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

Answer:

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

Step-by-step 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, $121x^2 + 100x + 25$