3) Let f(T) e R[T] be a polynomial of degree > 3. Show that there exists polynomials g(T) and h(T) in R[T], which are both not constant, i.e. of degree > 1, such that f(T) = g(T) · h(T).

Q: Q15) A complex-val functio is given in the following. f (2) = %3D a) Find real (u (x, y)) and…

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A: Properties of Laplace transformation

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A: We shall use the intermediate value theorem to answer this question

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Q: f: R2 → R, f(x1, x2) = x1-x2 function is given. a) Can f be an surjective function? b) Can f be an…

A: f: R2 → R, f(x1, x2) = x1-x2 function is given. a) Can f be an surjective function? b) Can f be an…

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Q: Show that f : ℝ → ℝ, f(x) = 5x − 3 is a bijective function.

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