Question 6 (a) f(x)r4- 6x2 (b) f(г) — 2х4 — 523 — 2? — 6а + 4. (с) f(г) — 4гА — 23 + 5а2 — 2х — 6 (d) f(x)5+4x4 Use Descartes' Rule to determine the number of positive/negative real roots of 8х + 2. Зx? + х — 6.

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros –1,…

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Q: Find a polynomial f (x) of degree 5 that -4, -1, 3 (multiplicity 2), 0 Leave your answer in factored…

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Q: POLYNOMIAL of degree 4 that has zeros 3,0,1,-5

A: We need to find the polynomial of degree 4 that has zeroes 3,0,1,-5

Q: Q-2. Determine the values of x for which the function J (X) =$in Xcan be replaced by the Taylor 3…

A: We have to find the value of x as per given conditions.

Q: A polynomial equation with real coefficients has roots at x = minimum degree of the polynomial…

A: Given Data: Roots of the polynomial are: x=±1, 2i The minimum number of degree of a polynomial…

Q: Question 2. Approximate the roots of the polynomial f(x) = X° - 7X + 6 using False-position method.

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Q: Find a root of an equation f(x) = (2x^3) -2x-5 using False Position method (regula falsi method).

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Q: True or False A polynomial function of degree 4 with real coefficients could have - 3, 2 + i, 2 - i,…

A: True or False  A polynomial function of degree 4 with real coefficients could have - 3, 2 + i, 2 -…

Q: 1 )Consider the polynomial f ( x ) = ( x − 1 ) ( x + 2 ) ( x − 3 ) ( x + 5 ). What are the roots of…

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Your polynomial should have. Degree 4 Roots at -2, -4 and 3 f(x) approaches negative infinity as x…

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Q: Find the equation of the polynomial with roots (–√3, 0) and (7i, 0), real coefficients, and passing…

A: Step I :   Given :   Roots : -3 , 0 & 7i , 0and passing through the point 1 , 200Find the…

Q: 2. Determine one real root of 2xcos2x – (x – 2)² = 0 on the (2,3)using the Regula-Falsi Method. Do…

A: Here -(x-2)2 + 2x(cos(2x)) = 0Let  f(x) = -(x-2)2 + 2x(cos(2x))

Q: Degree: 4 ; Roots: x=0, x=i

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Q: 6+ 4- -4 -3 -2 -7 4 18z For the above rational function f(xH identify its three inflection points.…

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Q: True or False A polynomial function of degree n with real coefficients has exactly n complex zeros.…

A: If the statement is true or false

Q: 2. Estimate the root of f(x) = In x; ɛEs = 0.1%. Start the computation with values of xl = xi-1 =…

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Q: 6. Determine the constant term of the polynomial with integer coefficients of lowest degree with…

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Q: EXAMPLE 10 Show that there is a root of the equation 6x- 8x +3x-2 = 0 between 1 and 2. SOLUTION Let…

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Q: 5. True or False A polynomial function of degree n with real coefficients has exactly n complex…

A: A polynomial function of degree n with real coefficient has exactly n complex zeros. At most n of…

Q: 2.1,2.-5, I 3. 9.)-2, 5 -3. 2 2 3 169-4,2 -3.4 .3,¢ 2

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next…

Q: f (z) = -7z4 + z2 – 25

A: This equation is about the fundamental theorem of algebra. In which for the equation shown identify…

Q: 10.16. In Zs[x], let ƒ (x) = 3xª + 3x³ + x + 1 and g(x) = 2x³ + 4x² + x + 1. Find (f (x), g(x)).

A: Solution:  Given polynomials are           f(x)= 3x4+3x3+x+1            g(x)= 2x3+4x2+x+1…

Q: 6. True or False A polynomial function of degree 4 with real coefficients could have -3, 2 + i,2 -…

A: True or False A polynomial function of degree 4 with real coefficients could have -3, 2+i,2 - i, and…

Q: 8. Find all the roots of f(x) =x* - 4x' + 6x² – 4x+5 if 2-iis one root.

A: Topic- roots of polynomial

Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: 1. Sketch f (x) = x³ – 5.00x2 + 1.01x + 1.88, showing the roots near +1 and 5. Write (5.00x2 – 1.01x…

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Q: 5. Write the equation in factored form of a degree 3 polynomial function with roots at -2, - 3, and…

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Q: 5.5 (a) Determine the roots of f(x) = -12 – 21x + 18x2 – 2.75x3 graphically. In addition, determine…

A: Given: f(x)=-12-21x+18x2-2.75x3 To determine: Root of given function by a) graphing method. b)…

Q: Separate the real roots of polynomials by Sturm's method x4-2x3+x2-2x+1

A: Sturm's method.

Q: Determine the real root of f(x)=x4-8x3-35x2+450x -1001. Using false-position method to locate the…

A: Solution : Consider the following function, Use false position method and consider the following…

Q: Case 3: non-repeate quadratic factor (x²-x-21) Example 1: S 2x3-x2+8x-4

A: Given

Q: a. Find a polynomial of degree 4 that has /2 + /7 as a root. That is, find integers a, b, c, d, and…

A: For (a),  We need to find the polynomial of degree 4 that has √2 + √7 as a root. So,

Q: 1. Find a polynomial of degree 3 whose zeros are -4, -1, 2 and y intercept 16.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 7 (multiplicity 2), –3, 0 Leave…

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Q: 1. Write the equation to the polynomial with double roots at 3 and 6, that levels off as it passes…

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Q: 6. Does there exist a polynomial of degree 4 with integer coefficients that has zeroes i, 2i, 3i and…

A: Complex root must be in conjugate pair

Q: 4. Find The coefficient of the x’term in the Maclaurin polynomial for sin(2x)

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Q: Determine the real roots of the equation using open methods (Error≈0.001): f(x) = - 24 + 80x - 90x2…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. The derivative…

Q: 4. Use synthetic division to find ALL the roots of f(z) of these. = z' + 26z³ + 10z² + 25z + 250 if…

A: Let w be a root of the polynomial f(z) then  f(z)=(z-w)g(z) Where g(z) is a polynomial of degree…

Q: here is the solution I got but I do not know where 8x(x+1) came from in step one:  Find all roots…

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Q: f(z) = 2+5r³ – 7z2-29x + 30 -5 -4 -3 -2 -1 0. 3. 4

A: Find the solution of the given equation  x4 +5x3 -7x2-29x+30

Q: If x = -1 is a root of the polynomial 0 = æ³ + 2x2 – 5z – 6. what are the other roots? Ox =-3, x = 2…

A: see next step

Q: Find a formula for the polynomial P(x) with • degree 3 • real coefficients • zeros at = 1 + i and x…

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Q: Find the coefficient of x25 in the generating function (x+ x2+ x3 + x* + x5+ x®) 4 (x²+ x³ + x*+..a…

A: Given function is, x+x2+x3+x4+x5+x64x2+x3+x4+...3 Now, we can write the given equation as,…

Q: Example 2.19. Find a real root of the equation x³ - 2x - 5 = 0 by the method of false osition…

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Q: A polynomial f(x) = x³ + ax² – 3x + b when divided by 91 (x) = x – 2 gives a remainder of 6 and f(x)…

A: Given:             fx=x3+ax2-3x+b using remainder theorem: fx=x3+ax2-3x+b is divisible by g1x=x-2…

Q: The values of various roots can be approximated using Newton's method. For example, to approximate…

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Q: 8. Match the polynomial equation in Column A with the correct rational zeros in Column B. Column A…

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Q: 8. Find the (only) equation of a polynomial p(x) th • Root at 0 of degree 1 • Root at 1 of degree 1…

A: Let the leading coefficient = a So, P(x)=ax(x-1)(x+3)2 Given that P(2)=5  Using that we find a

Q: 8

A: Solve the following