Identify which of the following factors is a factor to x^3-x^2-52x+160 x+2 x-3 x+8 x+5 x-5 Now use synthetic division to find the missing factor and type it below. square

To identify the factors of the polynomial , we can use synthetic division to test each given factor and see if it results in a remainder of zero.Let's start with :1. Rewrite as \(x - (-2)\).2. Set up synthetic division with as the divisor. The remainder is 252, so is not a factor.Next, let's try :1. Set up synthetic division with as the divisor. The remainder is 22, so is not a factor.Next, let's try :1. Rewrite as \(x - (-8)\).2. Set up synthetic division with as the divisor. The remainder is 0, so is a factor.Now that we have identified as a factor, we can use it to find the quotient polynomial. The quotient polynomial is .So, the missing factor is .