Find a polynomia with integer coefficients that has degree 3 and zeros 3, 2i, -2i

Q: Determines the numbers (in the corresponding order) of the row in the Pascaltriangle.

A: My student ID is 1908382026. The last two digit's of my ID are 2 and 6. The sum of these two digits…

Q: A cubic epline Ss defined by (2(G)% 3(x-1)+24-1) -(x-1) 5.(x) = 4 + 4(x – 2) –(+– 2)² +=(x - 2)* S…

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Q: Find a polynomial with integer coefficients that has degree 4 and zeros 1−2i and 1, with 1 a zero of…

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Q: Prove that a perfect square must be of the form 5n or 5n + 1.

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Q: x₁ ^ x2 - 2x2^x3 + x₁ ^ X4 form to Bring the skew-symmetric standard form.

A: Given: The differential form, x1∧x2-2x2∧x3+x1∧x4   To bring: The given skew-symmetric form to…

Q: 3. A rectangle is inscribed in a right triangle of sides 5, 12, and 13. What are the dimensions of…

A: The below Figure represents the given information, Compute the area of the triangle ABC as follows.…

Q: Find the Laurent scries representation of about (z + 1)(z – 4i)

A: Note:- In given problem, region is not mentioned. If region is anything else that i assumed in…

Q: show that Q has infinitely many distinct quadratic extensions in C

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Q: Faces of a polyhedron are painted into two colors, so that no two faces sharing an edge have the…

A: Consider the provided question, We need to prove that the number of edges of all faces of polyhedron…

Q: Find 2 positive real numbers x and y such that their sum is 40 and their product is as large as…

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Q: An open box is made from a rectangular piece of cardboard of dimensions 16inx10in by cutting out…

A: Let the length of the side of each square cut off from the corners be xcm.

Q: Prove that a perfect square must be of the form 5n or 5n ± 1.

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Q: 4. Find, in factored form, the cubic function y in the graph. Let the leading coefficient be a if…

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Q: find the general Solubun of Eguahion by usng (undertmind coefficients melthed)

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Q: Write an expression in factored form for the polynomlal of least possible degree graphed below.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Prove that a 6x6 board cannot be tiled with the tile shown. Use the coloring of the board to justify…

A: According to the given information, it is required to prove that 6×6 board cannot be tiled with the…

Q: 16. Find a method that can produce infinitely many triples (a, b, c) with no common factors such…

A: Given: A triple is a set of three positive integers (a,b,c)

Q: Find all the units, idempotent,nilpotents and zero divisors of Z6

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Q: 1. Use polynomial fitting to find a closed form for 5, 8, 13, 20, 29, ...

A: Given , Sequence = 5,8,13,20,29,.....   To find: Closed form of sequence i.e. formula for nth term .

Q: ind a polynomial  fx  of degree  5  that has the following zeros. −5 ,   3  (multiplicity  2 ) ,…

A: given that fx is of degree 5having zeros -5,3multiplicity of 2,0,-6write down a polynomial in…

Q: Find the dimensions of a rectangle with perimeter 104 metres whose area is as large as possible.…

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Q: Find the maximal area of a right triangle with hypotenuse of length 8.

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Q: use Lagrange Multiplier to find the dimensions of a rectangular having aperimeter 144m.anod Maximum…

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Q: For complex number z and w, prove that zw-wz=z - w if and only if z =w or, zw = 1.

A: We know that , for a complex number|z|2=zz¯and when z is a real numberz=z¯

Q: Find (a) ATA and (b) AAT. Show that each of these products is symmetric.

A: a).

Q: In the characteristic polynomial (3 – A)(4 – A)³(–3- )(3 – 1), what is the multiplicity of d = -3?

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Q: Show that if parabolic run-out conditions are used for cubic spline interpolation, then the…

A: The parabolic run out conditions used for cubic spline interpolation is, If x is equal to any data…

Q: Find p so that  x2 - 6x + p = 0  has one root (i.e. is a perfect square)

A: We will solve it by two methods Shortcut method to find p for the equation given is x2 + b x + c  is…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and…

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Q: Given an n x n grid, where n is always a power of two. Prove that for such a grid you can always…

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Q: Find (a) ATA and (b) AAT. Show that each of these products is symmetric.

A: Given, A matrix is,

Q: Prove that every perfect square is either a multiple of 5 or of the form 5j - 1 or 5j + 1.

A: Fermat's little theorem states that if p is a prime number, then for any integer a, the number ap −…

Q: Write a polynomial f(x) that satisfies the glven conditions. Express the polynomlal with the lowest…

A: Given zeros are, -4i and (3 + 4i) We know, complex zeros occurs in conjugate pairs ∴ Other necessary…

Q: find all real zeros for the given polyn 20x + 12; x + 3

A: Polynomial: f(x)=3x3+x2-20x+12 The zeros means at those values f(x) will be zero.

Q: If the dimension of Pn+1 is 5, then what is the n? (Note that Pn is the set of all polynomials of…

A: Pn is the set of polynomials of degree n or less together with zero polynomial. Given dimension of…

Q: if n is a perfect square then n2 + 2n is not a perfect square. prove this

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Q: 3. A rectangle is inscribed in a right triangle of sides 5, 12, and 13. What are the dimensions of…

A: The area of the right triangle is half the original triangle

Q: If we use the bisection method to find the root of fx) shown in the figure using start points xl-03…

A: In this question, we need to analyze the root from the graph for the given initial data.

Q: The ________ ________ of ________ states that if f(x) is a polynomial of degree n (n > 0), then f…

A: The ________ ________ of ________ states that if f(x) is a polynomial of degree n (n > 0), then f…

Q: Consider the set Z10 of remainders. Determine the products module 10

A: Given that the set Z10 of remainders. We have to determine the product module 10. 8⊙105=40=0mod10…

Q: How many integer elementary decompositions does the number 30 have?

A: Let pn denotes the number of partition of an integer in to elementary decomposition. That is, pn…

Q: Show that Z[√ -6] is not a unique factorization domain. (Hint:Factor 10 in two ways.) Why does this…

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Q: (4) Prove that if s and t are odd perfect squares, s + t is not a perfect square. Use contradiction…

A: A square of a number is the product of a number with the number itself . A perfect square is the…

Q: Show that for A and B of n×n order with complex enteries the matric Ab need not be similar to BA ,…

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Q: Find a polynomlal f (x) of degree 3 that has the following zeros. 5, -7, 6 Leave your answer in…

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Q: What is the remainder in Taylor's theorem called?

A: Taylor's Formula: For the function f(x), it has derivatives of all the orders in n open interval I…

Q: Construct a pyramid decomposition for image

A: Given: Let f = 12345678910111213141516

Q: state and prove the Cauchy Residue theorem?

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Q: (a) State the Eisenstein Criterion (without proof). [ (b) Prove that 30x³ 91 does not have roots in…

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Q: Let x be a positive integer. Show that if x is a perfect square, then 7x* + 4x2 + x + 3 cannot be a…

A: Solution is given below. Please upvote