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let f(x), g(x), and h(x) all be in F[x] show that if g(x) divides f(x) then g(x)*h(x) divides f(x)*h(x)
let f(x), g(x), and h(x) all be in F[x] show that if g(x) divides f(x) then g(x)*h(x) divides f(x)*h(x)