See explanation below.Explanation:The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..Assume we have some function of a single variablex; we'll call thisf(x)Then we can form an equation:f(x)=0Then the "roots" of this equation are all the values ofxthat satisfy that equation. Remember that these values may be real and/or imaginary.Now, up to this point we have not assumed anything aboutfx). To consider factors, we now need to assume thatf(x)=g(x)⋅h(x).That is thatf(x)factorises into some functionsg(x)×h(x)If we recall our equation:f(x)=0Then we can now say that eitherg(x)=0orh(x)=0.. and thus show the link between the roots and factors of an equation.[NB: A simple example of these general principles would be wheref(x)is a quadratic function that factorises into two linear factors.