Question

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

Answer 1

Answer:

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

Step-by-step 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)

Answer 2

Answer: $(x+3)(3x^{2}+1)$

Step-by-step 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:

$(x+3)(3x^{2}+1)$