Question

What is the factorization of the polynomial below

3x^2+36x+81

A. (x+3)(3x+9)
B. 3(x+3)(x+9)
C. (x+2)(x+27)
D. (3x+3)(x+9)

Answer 1

Hello from MrBillDoesMath!

Answer: Choice B, 3 ( x + 9) (x+3)

Discussion:

Factor 3 from each term:':

3x^2+36x+81 = 3 (x^2 + 12x +27).

As 9+3 = 12 ans 9*3 = 27 the factorizaiton is

3 ( x + 9) (x+3)

which is choice B

Thank you,

MrB