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! :)

⋅

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc