Synthesize the following functions in Cauer form. 5³ +25² + s + 1 5³ +5² +5 Z(s) Z(s) Z(s) 5³ +5² + 25 + 1 54 +58 +35² + s + 1 453 +352 + 4s + 2 25 + s

Q: (x) = 5x5 + ax4 bx³ + cx – 3 O As*→00, y0o. As→-∞, yH0 O As*→00, y0, Ast→-0, y→-00 O As*→00, y→-00,…

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Q: hè upward velóčity óf

A: Given :-  The upward velocity of a rocket is given as a function of time. t  s v t  0 0 10…

Q: What are the zeros of the polynomial function x² + 5x+6 Ox= -2,-6 Ox= 3,5 O x = -2, -3 x= -1,6…

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Q: Example 3: Jeremy uses the polynomial identity (x² – y?)² + (2xy)² = (x² + y²)² to generate the…

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Q: Where does the polynomial y = x² + 3x + 2 cross the x-axis? O (1, 0) and (0, 1) (1, 0) and (2, 0)…

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Q: For the polynomial below, 2 is a zero. h(x)=x'+4x+ 6x- 36 Express h (x) as a product of linear…

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Q: 10. Write a 3rd degree polynomial function with zeros: -4, 6i

A: Given: Zeroes of a polynomial which are -4, and 6i. The complex roots always lie in pairs, if one…

Q: The zeros of the polynomial P(x) = x* + 3x2 - 4 are %3D (a) 2i,-2i, i and - i (b) 2,-2, i and – i…

A: To find the zeroes

Q: Convert the following polynomials to factorial poly 1. (x-7)(x-6)(x - 5)(x+4) 2. (x+6) (x + 7)(x +…

A: We have to solve 1. (x-7)(x-6)(x-5)(x+4)2. (x+6)(x+7)(x+8)(x+9)(x-10)

Q: fnd all xeR where -5x (x+) n=2 ナS is Convergent- +5

A: We have to find all x∈ℝ such that the series ∑n=2∞ -5xx+1nx+1n-1+5x+1n+5 is convergent. We know that…

Q: Evaluate the following polynomials? 1.P(2)=x³–3x²–x+2 2.P(3)=2x³+2x²–4x+1 3.P(-2)=x³–8x²–2x+5

A: As per the policy we are solving first three subparts.   Please repost and specify which subparts…

Q: 8. Find the domain of f(r):

A: Given fx=x+3x−1

Q: Expand and simplify. (c) (x+2)3

A: According to the question,we have to expand and simplify x+23. As the above expression is algebraic…

Q: What are the zeros of the polynomial function f(x) = æ4 – 3a – 202 + 6x? O (-2,0), (–/2,0), (2, 0),…

A: By using Horners method

Q: Which of the following polynomial functions has a graph that crosses the x- axis at (-4,0)? A. f(x)…

A: Let's find.

Q: 7hat is a polynomial function in standard form with zeroes 1,-2, 3, and -3? Ox+x - 11x2– 9x- 18…

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Q: Multiplicative Inverse of X7+X5+X²+X' with respect to x8+x*+x³+x+1. Write your Final Answer in the…

A: We have to use division algorithm property.

Q: EVALUATE

A: ∫ x-3x-1+x2dx

Q: 4. Write the polynomial in standard form. * 4g – g° + 3g² – 2 -2 +4g + 3g – g g - 3g +4g - 2 O A -g…

A: Standard Form of Polynomial states that the polynomials needs to be written with the exponents in…

Q: 18. Which polynomial function has zeros -2, ½, 2, 1? * О А. у3 2x4 -Зх3- 7x2 +12х - 4 В. у %3D2х3 -…

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Q: Show that f 1 (3) does not exist.

A: Given : To show f'(3) doesnot exists

Q: x1 – 2x2 – 4x3 = -4 -x1 + 3x2 + 6x3 = 5 -3x1 + 6x2 + 13x3 12 xi = Ex: 42 : x2 = Ex: 42 : X3 = Ex: 42

A: System of non homogenous equation problem....

Q: Which of the following is a polynomial? i. x³ + 2x² – 5x+ 2 ii. 5.x³ + 3.x² + x+ 2

A: Given expression, i. x3+2x2-5x+2ii. 5x3+3x2+x+2iii. 5x2+3x

Q: Check whether or not x³ + 2x + 1 € F5[x] is a primitive polynomial.

A: Primitive polynomial

Q: What are the zeros of the function f(x) = 2 - 4sinx? Ox-+2rn and x- Ox-7+ O 5x 6 Ox-+2rn and x- 3…

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Q: (a) | V3 +1 dr

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Q: Example 4: Represent changes in area using polynomials A rectangle is twice as long as it is wide…

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