(1) Let h (x)= 1+x²+x³+x* be the parity check polynomial of a C(7, 4) cyclic code. (a) Show that v(x)= x+x4 +x³+x° is a code polynomial.

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: Simulate the product algorithm for polynomials p and q where p( x ) = 2x³ - 3x² + 9x + 11 and q( x )…

A: Here two polynomials are given p(x) and q(x), we have to perform multiplication of the given…

Q: =x2+10x+24 Express the quadtractic function in standard form

A: First  make perfect square and then put constant

Q: Find the multiplicative inverse of 3 in GF(13) domain using Fermat’s Little theorem.

A: We have to find the multiplicative inverse of 3 in GF(13) domain using Fermat's Little Theorem.…

Q: Write p(x) = 375 -7³+57²-1 in the form of nested multiplication. Compare the computational cost…

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Q: The interpolating polynomial p(x) of degree 2 of f(x) = 6xª – 2x³ + x² + 9 is p(x) = x² + 9. %3D…

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Q: (b) By Parseval's formula ΣΙΑ*(v)||2 = ΣΣΚΑ*(vi), v;}/2 = ΣΣΚυ;, A(v;)}2 = ΣΙΑ(v;)||2 < 0. ji…

A: To Explain: The mentioned part of the proof:

Q: In Z3[x], show that the distinct polynomials x4 + x and x2 + xdeterminethe same function from Z3 to…

A: We know that ℤ3 is a field i.e., a commutative ring with unity in which every non-zero element has a…

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: Which polynomial function would have the end behaviour of as x→ too, Y→ co? a) f(x) = 7x³ - 8x* -…

A: Topic = Functions

Q: Show that the multiplicity of (x-1) is 1.

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Q: In Z3[x], show that the distinct polynomials x4 + x and x2 + x determinethe same function from Z3 to…

A: Given: x4+x and x2+x are two distinct polynomials in ℤ3x.We need to show that the given two…

Q: Pls help

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Q: what is the domain of  (x+8)/(x+1)

A: Consider the function

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Q: Determine the linear interpolating polynomial that passes through the points (2,4) and (5,1). p(x) =…

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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: Which polynomial has the zeros 1, –1, & -4? O y = (x+1)(x – 1)(x+ 4) O y = (x+1)x –1)(x – 4) o y…

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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: Verify that the polynomials p (x) = 3+2 (x – 1) +4 (x – 1) (x +2) and a (x) = 4x2 + 6x – 7 are both…

A: Newton's divided difference interpolation formula can be defined as:…

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: Find the GCD of the polynomials f (x) and g (x). Use Euclidean algorithm to write GCD as linear…

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Q: 2. Identify the approximate input values of any relative maximums and minimums of this 5th degree…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: f(x)=x(40-x)/(20+9cos(x)) Let the function and the set V=[10,15,20,25,30]. Consider the set W of…

A: First we calculate f(x) by using value of x  Next we use Lagrange formula to calculate the…

Q: Find iterpolation polynomial p2(x) = ax² + bx + c that passess through the points: (0,7), (1,12),…

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Q: 2. Determine whether the set S = {(2, 0, 1), (2, -1, 1), (4, 2, 0), (-6, 2, 3)} a. Spans R3 b. Is…

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Q: How do you go about figuring out the upper and lower bounds for a polynomial? Is it just random…

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Q: ow that x+a is a factor of the polynomial p(x)= (x+a)ª+(x+c)ª-(a-

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Q: Create a polynomial function of the form: f(x) = a (bx + e)(cx +g}*(dx + h)°, with the following…

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Q: Find a polynomial p(x) = ao + a1x + aza² + azx³ of degree < 3 (here ao, a1, a2, a3 are real numbers)…

A: In this question , use the given values and solve the equations and find the polynomial.

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.