Question 7(Multiple Choice Worth 1 points) (07.01 LC) Factor completely 10x^5+4x^4+8x^3 Prime 2(5x^5+2x^4+4x^3) 2x^3(5x^2+2x+4) 2x(5x^4+2x^3+4x^2)

## Step 1The given expression is . We need to factorize this expression completely.## Step 2First, we need to identify the greatest common factor (GCF) of the terms in the expression. The GCF is the largest number or term that can be divided evenly into all terms of the expression.## Step 3The GCF of , , and is . This is because is the largest number and term that can be divided evenly into all terms of the expression.## Step 4Next, we divide each term of the expression by the GCF. This gives us the expression .## Step 5Finally, we write the original expression as the product of the GCF and the resulting expression. This gives us the completely factored expression \(2x^{3}(5x^{2}+2x+4)\).