Form the polynomial function that has the following real ZEROS: -6, -5, 3, 4 Section 3.1 O a4 + 4x - 59z2 342x -360 O aª – 4x* – 5922 342x + 360 O a4 - 4x° – 35x2 + 78x + 360 O a4 + 4x3 119x2 - 342x 360 O aª + 4x³ – 35x2 78x + 360

Q: Show that the polynomial 2x + 1 in Z4[x] has a multiplicative inverse in Z4[x].

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Q: Exercise 4.14. Suppose ƒ is any polynomial. (a) If d is a nonzero constant polynomial, what are the…

A: A degree of a polynomial is the highest power of the variable in the function. A constant polynomial…

Q: Show that the polynomial 2x + 1 in Z4[x] has a multiplicative inversein Z4[x].

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Q: 11. Write a polynomial to express the total value, T(x), of (x + 3) 20-peso bills, (x - 2) 50-peso…

A: Note:  We'll answer the first question. Since the exact question isn't mentioned. Please re-submit…

Q: Find all zeros of the polynomial function. Ax) = x* - 2x + 8x2- 32x – 128 O -4, -4, -2, and 4 O -4,…

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Q: Use the given real ZERO of the polynomial function to find the remaining real ZEROS. f (x)= 380x² +…

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Q: Which polynomial function has zeros of 1,1+i and 1 – i? f (x) = x3 – 3x² + 4x – 2 f(x) = x³ – x² +…

A: To find out the correct polynomial.

Q: 1) Sketch a cubic polynomial whose zeros are -1, 2, and 9

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Q: Write a general polynomial q(z) of degree n with coefficients that are bo, b,, b2, ..b,. What are…

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Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros.…

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Q: ld and p (x) be an irreducible polynomial of positive degree over a

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Q: Find a polynomial P(x) = ao + a₁x + ₂x² + 3x³ of degree 3 whose graph passes though the following…

A: Solution

Q: 1) Find the 3rd order polynomial that satisfies the data of water for saturation temperature and…

A: The data from the table can be used to form the third order polynomial function. A third order…

Q: Formulate that the Lagrange interpolation polynomial that passes through points (0, 3), (1,4) and…

A: To show that the Lagrange interpolation polynomial that passes through points (0,-3),(1,4),(2,15) is…

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

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Q: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient…

A: We have to solve given problem:

Q: Suppose a 3rd degree polynomial with real coefficients hasx = -4 and x =1+ y3 as two of its zeros.…

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Q: EXERCISE 5.4 Factorize each of the following cubic polynomials by factor theorem. 2 x --22x + 40 5.…

A: 8. Cubic Polynomial: 2x3+x2-2x-1 Take x2 common from the first two terms of the given polynomials.…

Q: #41

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Q: Verify that the Legendre polynomial Pn(x) satisfiesthe second-order equation(1 − x2)y'' − 2xy' + n(n…

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Q: Part 1 of 2 Classify the polynomial as a monomial -8x+ 16 Choose the correct type of polynomial…

A: As this polynomial is having three terms.

Q: #44

A: If x=1 is a zero then (x-1) is a factor. It has multiplicity = 4 so (x-1)4 is a factor.  x=-2 is a…

Q: Find a polynomial of degree n=4 that has the given zero(s) x = −4, −1

A: Find a polynomial of degree n=4 that has the given zero(s) x = −4, −1

Q: A third degree polynomial passes through the points (0,-3),(1,0) (2,9), (3,30), (4,69) and (5,132),…

A: See the attachment

Q: Help me please to understand

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Q: Write a polynomial f(x) that satisfies the given conditions. Degree 3 polynomial with integer…

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Q: 1. Determine whether the set S = {2x² – 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent or…

A: Here first we check the set s is linearly dependent or not.

Q: Form the polynomial function that has the following real ZEROS: 3,-1, 2, 4 Section 3.1 O z4 + 2z3 -…

A: Given point is; x = -3,-1,2,4   1) x4+2x3-14x2-13x+24  we find the factor of this function and then…

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

A: This question can be solved using the concept of solving system of linear equation using matrix.

Q: Find the polynomial with thats has degree 3 and Zeros 2,-1 and 3

A: To find the polynomial with thats has degree 3 and Zeros 2, -1 and 3.

Q: Write a polynomial function of least degree with integral coefficients that has the given zeros. 23)…

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Q: Evalute the polynomial at x= -2    5x^4-3x^2 - x + 1 + 5x^3

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Q: Find the maximum of f (x) = 4x – 1.8x² + 1.2x3 – 0.3x* using Quadratic interpolation (xo = 1.75, x,…

A: We can solve this using quadratic interpolation formula

Q: The minimum polynomial of 5'3 over Q is x 1/3

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Q: (4) Find a polynomial that has 1+i and 1- i as zeros.

A: We have to find polynomial

Q: If a, Band y are the zeroes of the polynomial p (x) = ax'+ 3bx² + 3cx+ d and having relation 2B =…

A: Option (c) is correct.

Q: Write the polynomial f(x) that meets the given conditions. Degree 3 polynomial with interger…

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Q: Form the polynomial function that has the following real ZEROS: -1, 1, 0, –3 Section 3.1 O a+3a + a²…

A: See attached file for a step by step explanation to find the required polynomial.

Q: write a polynomial f(x) that meets the given conditions. answers my vary. degree 3 polynomial with…

A: Given that 1, 7 and 6 are zeros of f(x).Then (x -1), (x - 7) and (x – 6) are factors of…

Q: Find a forth degree polynomial that has the zeros 3, -2, i.

A: Explanation and Solution is given below....

Q: Show that a cubic polynomial x3 + Ax2 + Bx + C has one real zero and two pure imaginary zeros only…

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Q: show that the polynomial p(x) = x^3 - 8x + 6 has exactly two roots on [0,3]

A: The given polynomial is p(x)=x3-8x+6. The roots of this polynomial are the values of x, where its…

Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

A: Solution:-

Q: #37

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Q: Find a polynomial of degree 3 that has zeros – 1, 1 and 2 such that the coefficents are integers= 2'

A: Let the polynomial equation be(x-α)(x-β)(x-γ)=0where α,β,γ are zeros

Q: In the set of polynomials in the form: P(x) = ax + bx' + cx² + dx + e, x E R there is a subset M,…

A: Given the polynomial M=px=ax4+bx3+cx2+dx+e, x∈ℝ|x,p(x)=-2,4,-1,0,1,-2,3,6. (a) Consider a cubic…

Q: 15) 2, 3, 5, -4 16) 1, 3, -4

A: 15)  The zeros of the function are 2, 3, 5, -4

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

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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…