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 1<br />The given expression is \(10x^{5}+4x^{4}+8x^{3}\). We need to factorize this expression completely.<br /><br />## Step 2<br />First, 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.<br /><br />## Step 3<br />The GCF of \(10x^{5}\), \(4x^{4}\), and \(8x^{3}\) is \(2x^{3}\). This is because \(2x^{3}\) is the largest number and term that can be divided evenly into all terms of the expression.<br /><br />## Step 4<br />Next, we divide each term of the expression by the GCF. This gives us the expression \(5x^{2}+2x+4\).<br /><br />## Step 5<br />Finally, we write the original expression as the product of the GCF and the resulting expression. This gives us the completely factored expression \(2x^{3}(5x^{2}+2x+4)\).