Question

Identify the trinomial that is a perfect square.

A. 9x2 + 30x + 16
B. 16x2 + 20x + 9
C. 36x2 + 60x + 25
D. 4x2 + 30x + 25

Answer 1

Option C,
`36x^2 + 60x + 25`

Explanation:

Step 1: Determine the perfect square

According to online, "When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b)"

The only one that seems to work is Option C so lets factor it.

`36x^2 + 60x + 25`

`(6x + 5)(6x + 5)`

`(6x + 5)^2`

Yup! We can see that Option C would give us a perfect square

Answer: Option C,
`36x^2 + 60x + 25`