What is the factorization of the trinomial 3x2 plus 36x plus 81?

Answer 1

3x2 + 36x + 81

= 3(x2 + 12x + 27)

= 3(x + 3)(x + 9), which are its prime factors;

or, if you prefer,

3x2 + 36x + 81 = (3x + 9)(x + 9),

which is also accurate.

You may easily verify these results by multiplying back.