If f(x) = E , (-1)* 26k g(x) = xf (6x), then the serie %3D 6 k! representation of g(x) is A) E1 (-1)* k 6* r6k-1 k! B) E =1 (-1)* 65* 6k k! C) (-1)* 65k 5k (-1)* k 6- k+1 D ) Σ E) (-1) k6k 6k

Q: 2 17. The polynomial P(x) = x* - &x – of x = 1, 3, and -2+i. What is its fourth zero? 8x +15 has…

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Q: 3. Factor each of the following fully. a. f(x) = x* + 3x³ 38x² + 24x + 64 b. f(x) = (x – 7)³ – (2x +…

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Q: (1+ 2x + 4x + 8x° + · · · )(3x + 3x* + 3x° + · · · )(x° + 2x° + 3x° + •..)

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Q: 200. (5ab- 1)(2ab + 3)

A: Topic = Algebra

Q: Let P(R#) represent the set of all polynomial functions, functions that can be written in the form…

A: Given that   P(R#) represent the set of all polynomial functions. Each polynomial in P(R#) can…

Q: What is the rule for this pattern? (figure 1 is 1 block) Of(x)=n+2 Of(x) = 2n Of(x)=n-1 Of(x) = 2n-1

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Q: (2) (a) What is the order of (Z20, +20)? (b) What is the order of (Z20, 20)? (c) What is the order…

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Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities?…

A: We have to find the zeroes and their multiplicities.

Q: (a). Show that the addition of x²+x and x²+x+1 is in GF(2³) (b).Show that the multiplication of x²+x…

A: We know that GF(2m) are the binary polynomials, i.e. polynomial whose coefficients are either 0 or…

Q: What is the result of this Lambda expression? (λ(x) 4 * 2x + 3x)  (2)

A: The lambda expression (λ(x) 4 * 2x + 3x) defines a function that takes a single argument ` x ` and…

Q: 29. The area of the shaded region shown below can be represented as (2x + 6) (2x + 6) - (r(x + 3)²).…

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Q: Find the general solution of the recursive relation an ○ an = a (1 + √√14)” + ß(1 − √√14)” an = a(1…

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Q: Given w(x) 5a +6 and z(x) = 3x – 4, evaluate the following. %3D %3D (a) (w o z)( – 1) = %3D (b) (z o…

A: Consider the given information. wx=5x+6zx=3x2−4 Find the composition of the function as,…