Factor the trinomial 3x ^ 2 + 8x + 4

(3x+2) (x+2)

Step-by-step explanation:

For a polynomial of the form ax^2 + bx + c  and rewrite the middle term as a sum of two terms whose product is a ⋅ c = 3 ⋅ 4 = 12 and whose sum is b = 8

Factor 8 out of 8x

  3x^2 + 8 (x) + 4

Rewrite 8 as 2 plus 6

    3x^2 + (2+6) x + 4

Apply the distributive property

   3x^2 + 2x + 6x +4

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(3x^2 + 2x) + 6x + 4

Factor out the greatest common factor (GCF) from each group.

x(3x+2) + 2(3x+2)

Factor the polynomial by factoring out the greatest common factor,

3x + 2.

(3x+2) (x+2)

Hope that helps! :)

⋅