Factor out the greatest common factor. If the greatest common factor is 1,just retype the polynomial. 2c^3+8c^2 square

## Step 1The problem asks us to factor out the greatest common factor (GCF) from the given polynomial . The GCF is the largest number or term that can be divided evenly into all terms of the polynomial.## Step 2To find the GCF, we need to look at each term of the polynomial and identify the largest number or term that can be divided evenly into all terms. In this case, the GCF is , as it is the largest term that can be divided evenly into both and .## Step 3Once we have identified the GCF, we can factor it out of the polynomial. This means we divide each term of the polynomial by the GCF and write the polynomial as the GCF times the resulting terms.## Step 4So, we divide by to get , and by to get .## Step 5Therefore, the factored form of the polynomial is \(2c^{2}(c+4)\).