Problem 10 college algebra Please show your work Factor comp

Problem 10 (college algebra). Please show your work.

Factor completely the given polynomial. 81x^2 + 36x + 4 Select the correct choice below and fill in any answer boxes within your choice. 81x^2 + 36x + 4 The polynomial is prime.

Solution

81x²+36x +4

and it´s a case of factor : \"perfect scuare trinomial\" so:

81x² = 9x and 4 = 2

then we have:

(9x + 2)²

The proof...

(9x)² + 2.(9x).(2) + 2² and it is...

81x² + 36x + 4