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

To identify which of the given factors is a factor of the polynomial , we can use the Factor Theorem. The Factor Theorem states that if is a root of the polynomial \(P(x)\), then \((x - a)\) is a factor of \(P(x)\).Let's test each given factor by substituting the corresponding root into the polynomial and checking if it equals zero.1. For , the root is : So, is not a factor.2. For , the root is : So, is not a factor.3. For , the root is : So, is a factor.4. For , the root is : So, is not a factor.5. For , the root is : So, is a factor.Therefore, the factors of the polynomial are and .