Form a polynomial equation with integral coefficients whose only roots are given. 1/2,-2/3,1/3

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: The polynomial + ax 3x+ hx 2 has roots -1 and 2. one of which is a triple root. Find the values of a…

A: There are two possible case, checking one by one both to know which is the possible case as in next…

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: Find a fourth-degree polynomial with integer coefficients that has zeros 2i and -1, with -1 a zero…

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

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Q: Show that there is a root of the equation x3 - x - 1 = 0 between 1 and 2.

A: Consider the given equation. x3-x-1=0 and, fx=x3-x-1 Put x=1 in the function. f1=13-1-1=-1

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

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Q: Form a polynomial equation with integral coefficients whose only roots are given -4/3,2i,-2i

A: Since, -4/3, 2i, -2i are the only roots of the required polynomial equation, so (x+4/3), (x-2i) and…

Q: Give a POLYNOMIAL EQUATION with integral coefficients that has the following roots. Write your…

A: It is a fourth degree polynomial as we are having four roots.

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

A: Given: Find a polynomial of the specified degree that satisfies the given conditions.Degree 4; zeros…

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: Determine all the roots of z8 - 2z* +1 = 0

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Q: Write the equation of a third degree polynomial in standard form (multiply out) with the given…

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Q: A 4th degree polynomial has zeros -5, 3, i, and -i. Which could represent the function defined by…

A: here it is given that A 4th degree polynomial has zeros -5,3, i and -i

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: 5. Find a polynomial equation with real coefficients that has the given zeros: - 3, 4i

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Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 3,3,-1 .…

A: see 2nd step.

Q: Form a quadratic with real coefficients having amongst its roots -6+i

A: As given in this question, one root is imaginary then other will also be an imaginary roots.

Q: Form the polynomial equation with integral coefficients whose only roots are given. 3,4,2

A: if a is the root of the polynomial then (x-a) will be the factor of the polynomial  And we can write…

Q: The fourth-degree polynomial f (x) = 230x* + 18x³ + 9x² – 221x – 9 has two real zeros, one in [-1,…

A: Iteration formula for secant method is:  xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn)…

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

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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: 5x^2−3x−8 has roots at x=

A: Consider the quadratic equation To find - roots

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

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Q: Determine a quadratic function in standard form that has roots x = 3i and x = -3i and also passes…

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Q: Find a polynomial of least degree with only real coefficients and having the given zeros. (2+i,0)…

A: Let f(x) be the polynomial of least degree having zeros 2+i and 3.Since the complex number 2+i is a…

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: Form a polynomial equation with integral coefficients whose only roots are given 1/2,square root of…

A: To find the polynomial for given roots Roots are 1/2, √2 and - √2

Q: Write a fifth-degree polynomial in factored form that approaches positive infinity as x approaches…

A: Please refer the attached image for complete solution. THANK YOU.

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: Find the root using Regula Falsi Method (show your table) x^2-6x+9=0   Ans. x=3

A: Regula falsi method or false position is a numerical method to solve equations in one unknown. This…

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

A: Sturm's method.

Q: Write a polynomial function of least degree with integral coefficients that has the given zeros. + 0…

A: topic- polynomials

Q: Use Müller's method to find the roots of f(x) = x³ + 3.5x² – 40 with x2=1 and 8 = 0.01, and ɛ, =…

A: Let f(x)=x3+3.5x2-40Here x 0 1 2 3 f(x) -40 -35.5 -18 18.5 x0=2x1=3x2=2.51st iteration…

Q: Give a polynomial equation with integral coefficients that has the following roots. 0, -3, -1, 2

A: This question is related to polynomials, we will solve it using given information.

Q: 7. 3/2, -2, 1/3. -1 8. -2/3, -1/2, 2. -5, 1 9.-2. 5/2. 1/3, -3, 2

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: find a degree 3 polynomial having zeros 3,-7, and 4 and leading coefficient equal to 1.

A: Given: A degree 3 polynomial having zeros 3, -7 and 4 and leading coefficient equal to 1.

Q: り -3,-4,5 5.) 2 3 -2,3 3 (6.) - 1 -s.-1 ー9 し 一2

A: When all coefficients of a polynomial are integers, the polynomial is referred to as a polynomial…

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

A: To determine the roots using Regular Falsi Method.

Q: Find a polynomial of least degree with only real coefficients and having the given zeros. 2 + i, 3

A: Given

Q: Find a polynomial degree 3 with constant term 96 and zeros 3 and 4 (multiplicity by 2)

A: Let Px be a polynomial of degree 3 with constant term 96 and zeros 3 and 4 (multiplicity  2). A…

Q: Does there exist a polynomial of degree 4 with real coefficients that has zeros i, 2i, 3i and 4i?…

A: Given statement : Does there exist a polynomial of degree 4 with real coefficients that has zeros i,…

Q: Show that the equation 5x* = 7x+5 has at most two real roots. %3D

A: To show that the equation 5x4=7x+5 has at most two real roots

Q: Find the 0/root for the could rake equations below by any method

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Q: Find an equation of a degree 3 polynomial(in factor form) with the given zeros of f(x): -5,2,3.…

A: given ,             A degree 3 polynomial with the given zeros of  fx :-5,2,3…

Q: List all the possible rational roots of 4x-2x – 6x² + 22x – 15 =0. Show all work.

A: We need to use the rational roots theorem. It says that if we have a polynomial f(x) with integer…

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

A: We can solve the problem by just multiply the factor of the polynomial.

Q: Give an example of a polynomial of degree 5 with roots -2 and -i.

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

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.