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Consider the following two polynomials in F17[x]
(a) Use Karatsuba's algorithm, by hand, to multiply these two polynomials.
(b) Use the FFT algorithm, by hand, to multiply these two polynomials.
Remember that if a polynomial has degree 3 or less then it is irreducible if and only if it has at least one linear factor, that (x - a) is a linear factor of a polynomial f(x) if and only if f(a) = 0 and that for small elds it is easy to check by hand if a particular value is a root of a polynomial.
(a) Which of the following polynomials are reducible and irreducible in F5[x]? What is the factorization of the reducible ones?
(b) Does the following system have a unique solution of smallest degree:
The frequency of oscillation of an object suspended on a spring depends on the stiffness k of the spring (called the spring constant) and the mass m of the object. If the spring is
IF YOU HAVE 24 BISCUITS HOW MUCH WHOLE BISCUITS DO YOU HAVE IF YOU SHARE FIVE BETWEEN 5 FRIENDS
at what price a 6.25%rs 100 share be quoted when the money is worth 5%
1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 an
Critical Point Definition : We say that x = c is a critical point of function f(x) if f (c) exists & if either of the given are true. f ′ (c ) = 0 OR f ′ (c
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how can we plot y=2x-1
detail on identity function
Properties of Integration
Using the sketch below and the fact that ∠A + ∠B + ∠C + ∠D = 325, Determine m∠E. a. 81° b. 35° c. 25° d. 75° b. The addition of the measures of the exterio
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