Answer:
(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.
Answer: (3x+2) (x+2)
Hope that helps! :)
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