Question

Factor completely. 3x^3 +9x^2 +x+3. Thank you!

Answer 1

Answer:
`(x+3)(3x^(2)+1)`

Explanation:

1. First group the first two terms and the last two terms of the polynomial given in the problem, as following:

`(3x^(3)+9x^(2))+(x+3)`

2. Now, you must factor out the greatest common factor:

`3x^(2)(x+3)+(x+3)`

3. Factor out (x+3). Finally you obtain that the answer is:

`(x+3)(3x^(2)+1)`

Answer 2

(x+3) (3x^2+1)

Explanation:

3x^3 +9x^2 +x+3.

We can factor by grouping

The first two terms take out 3x^2 and the last 2 terms take out a 1

3x^2 (x+3) + 1(x+3)

Now we can factor (x+3)

(x+3) (3x^2+1)