Question

Factor 3x^3+6x^2+x+2 by grouping

Answer 1

The answer for this question when grouping:

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

Answer 2

3x^3 + 6x^2 + x +2

Let's divide the question into the left and right side:
The left side:
3x^3 + 6x^2
Take out the greatest common factor (3x^2)
3x^2(x+2)

Now the right side:
x+2
Take out greatest common factor (1)
1(x+2)


Notice how each side has a parenthesis of (x + 2); this is good. We combine the matching elements into one, and take the greatest common factors we pulled and make them into a group. As shown:

(3x^2 +1) is the two greatest common factors we pulled.

(x+2) is the common parenthesis.
Now combine them for your answer:

(3x^2+1)(x+2) is your factored answer.

I hope this Helps!