For each of the following, if it is true prove it and if it is not true give a specific example for which the statement is false. (a) If r₁ is a zero of polynomial P₁(x) and r₂ is a zero of polynomial P₂(x), then ₁-2 is a zero of polynomial P₁(x) – P₂(x).

Use the given polynomial function to answer the questions. f (x) = x² (2x – 1)² What is the degree of the polynomial? What is the leading coefficient? Which describes the end behavior of the function? As x → -00, f (x) → -00; as x → 0, f (x) → 0 As x → -, f (x) → ∞; as x → ∞, f (x) → ∞ As x → -0, f (x) → ∞; as x → ∞, f (x) → -00 As x → -0, f (x) → -∞; as x → ∞, f (x) → -∞