Answer:
the completed factor is (2x + 2)(x + 3).
Explanation:
To complete the given factor, we need to find two binomials that multiply together to give us the expression 2x^2 + 8x + 6.
First, let's look at the coefficient of x^2, which is 2. The only way to factor 2x^2 is as 2x * x.
Next, let's look at the constant term, which is 6. We need to find two numbers that multiply to give us 6 and also add up to the coefficient of x, which is 8. The numbers that satisfy this condition are 2 and 3.
Therefore, the factors of 2x^2 + 8x + 6 are:
(2x + 2)(x + 3)
You can verify this by multiplying the two binomials together using the distributive property.
So, the completed factor is (2x + 2)(x + 3).