for the polynomil bellow 1 and 3 are zeros h(x)=x^4-2x^3-7x^2+14x-6 express h(x) as a product of linear factors  h(x)=

Q: 1. Fill in the table below with information about each of the following polynomi Polynomial Degree…

A: Given that:

Q: Write a polynomlal f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

A: Since x=-4 is a zeros so, (x+4) is a factor of f(x) Since x=1 is a zero so, (x-1) is a factor of…

Q: Determine the stepsize that can be used in the tabu- lation of f (x) = sin x in the interval [0,…

A:

Q: (c) x + 4x + 2x + 3x -x+5 (4) x + Sx + 4x + 7 19. Write euch polynomial as a product of irreducible…

A:

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

A:

Q: Show that the Chebyshev polynomials have thefollowing properties: Tm(Tn(x)) = Tmn(x)

A:

Q: 8. Construct a natural cubic spline that interpolates the function f(x) = 1/(1+ x²) at x = -2, –…

A: Let the cubic spline polynomial of f(x) be H(x). Then Hx=fa+fa,ax-a+fa,a,bx-a2+fa,a,bx-a2x-b…

Q: polynömial that passes through the three points (0, 1), (1, 2) and (2, 23). If the coefficient of x…

A:

Q: Determine the roots of f(x)=-12-12x+18x2-2.75x3 using false-position method. (use initial guesses of…

A: Determine the roots of f(x)=-12-12x+18x2-2.75x3 using false-position method

Q: a. Give the smallest extension of Q that contains all the zeros of x4 - 2x2 – 15.

A: We shall answer first question only as you have asked diff question without mentioning. For others…

Q: Find the inter val of Valiediy -2x=2 ১০) - 2.

A:

Q: Show that x19 + x8+ 1 has multiple zeros in some extension of Z3.

A:

Q: Apply the rank one correction algorithm to minimize the function f(X) = 15x + 2x - 2x1x2 -x1 - 5x2 -…

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Q: Construct the Lagrange Interpolation polynomial for the fundlion y= Sinin taking the points. 6.

A: Given  y=sin(πx)x0=0,x1=1/6,x2=1/2

Q: find the anti- deriva tive of the fun cticn: fcx) = 4 cSca cotx - Secx cot x

A: Derivative of function

Q: ) Express 8-x over Q[x] and over F2[x] as a product of irreducible ynomials.

A:

Q: For the given polynomial y a2x2 + azx³, determine a2 and az that will make %3D (1,3) a point of…

A: Based on trial and error method we will solve the the first equation.  As per the bartleby policy,…

Q: Find the unique quadratic polynomial y = ax² +bx+c that passes through the three points (1, 1),…

A: What is Polynomial: A polynomial is a real valued function. It is an algebraic function that is…

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: Suppose that Q : R" → R is a quadratic form attaining the minimum value on the set ||x|| = 1. %3D…

A: Given that                           Q : ℝn→ℝ is a quadratic form attaining the minimum value…

Q: use lagrange multipliars to maxim The Fungtien 7CX>y)=V57-x" -y subjeet to the Following canstaint…

A:

Q: a) Use the bisection method to approximate a zero of f(x) = x³ – 3x² +1 with an error of less than =…

A: We have to use bisection method to approximate a zero of the function  f(x) = x3-3x2+1

Q: Use the Bisection method to find solutions accurate to within 10-2 for x³ 6x2 + 11x - 6 = 0 on…

A: According to the given information, it is required to use the bisection method to find the solution…

Q: Express p (x) = 1 + 2x -5x2 as a Taylor polynomial about a= 1

A:

Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ with bisection method using initial…

A:

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: 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 the positive smallest root for f(x) = 4cos(2.x) + 2.x -6 a) by using bisection method with the…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

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: Show that the polynomial z5 + 14z + 2 has four zeros in the annulus </2 < 2.

A: Given

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

Q: estimate the value of x correspond to f(x) = 1.6 Using cubic interpolating polynomial together with…

A: Given data is x 1 2 3 4 f(x) 3.6 1.8 1.2 0.9 The value of x corresponding to f(x) = 1.6…

Q: Express p (x) = x3 as a Taylor polynomial about a = 1/2

A:

Q: (a) Show that (x2 + v2x + 1)(x² – v2x + 1) = x* + 1.

A: Given that: (x2+2x+1)(x2-2x+1)   NOTE: As per our answering guidelines, we can only answer 1…

Q: Find a polynomial Junction of lenst degree having only reil Coejficients with 3eros as giver 2

A: We need a polynomial having real coefficients with zeros at 2 and 1+i. We know that any non real…

Q: I. Use the Factor Theorem to determine whether the given binomial of the form x - cis a factor of…

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Q: Determine the roots of f(x)=-12-12x+18x2-2.75x3 using bisection method. (use initial guesses of and…

A: Here we have to determine the root of f(x)=-12-12x+18x2-2.75x3 by using the bisection method.

Q: Use the second order Tyler polynominal P3(x)for f(x)= 3/x centered about N2 to approximate the value…

A: Consider the provided question, A complete Tayler polynomial for the function and center around x=a…

Q: Express the quadratic form Q(x1, x2,x3) = 6x3 +3x3 +3x3 – 4x1.x2 – 2x2x3+4x3x1 to the sum of square,…

A: We need to use eigen values and eigen vectors of co efficient matrix

Q: snip

A: Given{x,2x-x2,3x+2x2}To check dependentIf they are dependent , need to express  one function in…

Q: Write the eguation of a sixth degree uatioN with a root of 2 with multiplicity of 2.r0ot of -3 with…

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

A: Solution:- Any given value is said to be upper bound for the zeros of the polynomial if all the…

Q: Which of the following polynomials has zeros at x = -6 (which is a bounce point), and x = 4 (which…

A: Given data  Polynomial has zeros at x=-6(bounce point) Polynomial has zeros at x=4(cross point)…

Q: Suppose that Pɔ(x) is the second degree Lagrange interpolating polynomial for the data: 1 2 Yi 3 6…

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Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ with False position method. Use initial…

A:

Q: 2)Let PCv) =x" -5x 74 A. find all Possible rotional Zeros b, find Compiete factorizatin Of p C. find…

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Q: 24. Determine the number of zeroes of the polynomial z7 – 6z5 + 8 in the annulus 1 < |z| < 2.

A:

Q: Determine the roots of f(x) = -1 - 12x + 18x² 2.75x a. Graphically b. Using Bisection Method c.…

A: Given function is fx = -12 - 12x +18x2 -2.75 x3