Which of the following polynomial functions is/are odd function(s)? a) y--2x* - 2x + 5x – 2 b) y--2x – 2x + 5x C) y = x - 2x + 1 d) y = x - 2x* + x e) A and D

Q: 2. Use syntr dhe hirst polynomial by the second. а. х2+x -3; х-1 b. 4x- 3x2+ 3x - 2; x-1 c. x'+x°…

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A:

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A: The number of zeroes are 4. But one zero has a multiplicity of 2 that is the zero is repeated.

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A: To form: The interpolating polynomial of degree k that satisfies pjx0=fjx0 for 0≤j≤k

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A: To find out the correct polynomial.

Q: 11. Use the quadratic formula to explain why a quadratic polynomial function f(x) = ax? + bx +c is…

A: fx=3x2+2x+6

Q: Ex.5 - Prove that the polynomial 2ª + z + 1 has exactly two zeros in the right half-plane.

A: Solution: We will be using the method of Routh array For a polynomial Qz=anzn+an-1zn-1+...+a1s+a0…

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Q: Let f(x) = x' + 2x + 4 and g(x) - 3x + 2 in Z,[x]. Then, upon dividing f(x) by glx), we get 7- The…

A: I am solving part7 &amp; part8 as you mentioned.

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of each (a) (r…

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Q: Q3: Factorize f (x) = 2x* + x³ + 2x + 4 € Z5[x] as a polynomials product to irreducible over Z5?

A:

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A: See the attachment

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A: Explanation of the answer is as follows

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A: To find the zero with its multiplicityd) x+52x-4x+1e) x+53x-4x+1f) xx-1x+1

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Q: h(x) 36千 27 18- 9- -5 -4 3-2 -i 0/1 2 4 5-x 3 4 6- -18+ 27+ 36+ -45+

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A: The given function is

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A: Finding the polynomial f(x) from the given conditions

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Q: The general polynomial of degreen has the form = a,x" + a,-1x"- + .. + azx? + ajx + ao, where a, +…

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Q: There is at most one polynomial of degree less than or equal to n which interpolates f(x) at (n+1)…

A: By using interpolation theory, we need to check which of the given options are true.

Q: Which of the following polynomials is guaranteed by the Intermediate Value Theorem to have a zero on…

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Q: Consider a quadratic polynomial with a negativ main coefficient and a negative discriminant. Which…

A: Consider a quadratic polynomial with a negative main coefficient and a negative discriminant. Which…