Give a polynomial equation with integral coefficients that has the following roots. 1± 2i, 2±√3

Q: An nth degree polynomial will have at most n+1 real roots. O True O False

A: No, that is not possible. The only reason that an n-degree polynomial has max n roots is that it can…

Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

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Q: Form a polynomial f(x) with real coefficients having the given degree and zero  Degree 4; -5+3i; -1…

A: It is known that if a+bi is a zero of polynomial with real coefficients then a-bi also a zero. Given…

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

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Q: Give a polynomial equation with integral coefficients that has the following roots. 3, -1, 1

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Q: Find the roots using Bairstow's method of the function f (x) = x4 – 2x3 + 2x2 + 3x – 4. -

A: Given function is  f(x) = x4 - 2x3 + 2x2 + 3x - 4 Find the roots of the polynomial using Bairstow's…

Q: Give an expression for f(x) with leading coefficient –5, of degree 3, and having roots ¤ : -4 , x =…

A: from the given data: i^2= -1 Substituting in the required place and finding the polynomial

Q: Give a polynomial equation with integral coefficients that has the following roots. 2, 3, 1/2

A: we can write polynomial as product of roots

Q: Find the second-degree Taylor polynomial for f(x) = 3x? – 4x + 2 about a = 0. %3D P2(x) = %3D What…

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

A: Let Q (x) be a polynomial that has degree 3, and zeros 0 and i. We know that if a+ib is zero of a…

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

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Q: find a formula for the polynomial P(x) with degree 3 leading coefficient 2 zeros at -5, -3, and 3

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Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f(x) = x³ – 3x +1 %3D Using a…

A: Roots  of the given  equation using regula falsi method.

Q: Find the Maclaurin polynomial of the ninth degree for the function h(x) = ln(1+x3)

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Q: 7. The fourth-degree polynomial f(x) = 230x* + 18x + 9x? – 221x -9 has two real zeros, one in [-1,0]…

A: As per the guideline, I am doing the 1st method only. Kindly repost the others separately.   Secant…

Q: 18. f(x) = x* – 5x³ + 7x? + 3x – 10 Possible Rational Roots (PRR): SHOW WORK HERE: Zeros:

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Q: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 9 (multiplicity 2), -6 Leave…

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Q: Show that a polynomial of degree 3 has at most threereal roots

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: find the polynomial of lowest degree with integer Coefficients & zeros 1, 3, i

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Q: 17. Find all roots of the polynomial P(x) = x* – x³ – x² - x– 2.

A: This question is about nth root of polynomial

Q: The fourth-degree polynomial f (x) = 230xt + 18x³ + 9x? – 221x – 9 has two real zeros, one in [-1,…

A: The given problem is to find the two real roots of the fourth degree polynomial at accuracy 10-6, we…

Q: Find the polynomial equation of lowest degree, with real coefficients and leading coefficient 1 that…

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Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

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Q: Give an expression for f(x) of degree 3 with roots a =1 , x = 5 + 3i, and a = 5 – 3i. • Your final…

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Q: Express the polynomial x3 + 2x + 3 EZŞ[x]as a product of irreducible polynomials of Z5[x].

A: Explanation of the answer is as follows

Q: Solve for all the roots of x using Bairstow's Method starting at r = 0.25 and s1 = 8.75 of the…

A: We have to find all roots by using Bairstow's Method.

Q: Find a polynomial of degree 4 that has a real coefficient and has 3,2 and 2+i as some of its roots

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Q: 9.)-2, 5 -3.2 3

A: Since you have posted a multiple question according to guildlines I will solve first question (i.e…

Q: C) Find a polynomial of degree 2 that has two irrational zeros

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Q: 3. Solve for all the roots of x using Bairstow's Method starting at ri = 0.25 and s1 = 8.75 of the…

A: We will use the basic knowledge of Bairstow's method to precisely find all the real and complex…

Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

A: Given: Let us determine the polynomial equation of the least possible degree with integral…

Q: Solve for all the roots of x using Bairstow's Method starting at r= 0.25 and s1 = 8.75 of the…

A: A polynomial is given by, fx = x4+8x3+72x-81. The objective is to solve the polynomial for all the…

Q: Solve for all the roots of x using Bairstow's Method starting at r = 0.25 and s1 = 8.75 of the…

A: Solution :-

Q: A quartic polynomial P(x) has rational coefficients. If √2 and 1 + i are roots of P(x) = 0, what are…

A: The detailed solution is as follows below:

Q: D. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a…

A: The given zeros are 3i,-3i,-1 and -1.

Q: The equation that gives the depth x to which the ball is submerged under water is given by x²…

A: Given equation is x3 -0.165 x2 +3.993×10-4 =0 Take  fx = x3 -0.165 x2 +3.993×10-4  Let initial…

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

A: We will find all the remaining roots as following.

Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

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Q: Use Muller's method to determine the roots of f(x) = −2+ 6.2x - 4x² - 0.7x³ Initial guesses: Xo =…

A: Introduction: Muller's approximation method is the iteration method to approximate root of an…

Q: Give a polynomial equation with integral coefficients that has the following roots. ±2 , ±3

A: To give a polynomial equation with integral coefficients that has the following roots.±2 , ±3

Q: Find a formula for the polynomial P(x) with degree 3 • real coefficients -D1 y-intercept at (0, 20)…

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

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Q: 1. Find a real root between 2 and 3 of the equation x3 – 2x2 + x – 3 = 0, correct to three decimal…

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Q: Find a polynomial f (x) of degree 3 that has the following zeros. 0, -2, 1 Leave your answer in…

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Q: 3. Use a divided difference table to find the Hermite polynomial approximation of a sin(2x-3+1 which…

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Q: The general polynomial of degreen has the form = a,x" + a,-1x"- + .. + azx? + ajx + ao, where a, +…

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Q: 10.12x5 – 4.89x³ + 15.283x2 – 6.13x – 1.1 = 0

A: Concept: The false position method: The false position method (method of false position) or regular…

Q: Give a formula for the polynomial of least degree pictured here. f(z) =

A: The objective of the question is determine the equation of the given graph (cruve).

Q: Find a polynomial P(x) with rational coefficients that has degree 5 and zeros, -2, 1+2i, and -1-2i…

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