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

Q: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: If a + bi is a root of a polynomial equation with real coefficients, b + 0, then. equation. is also…

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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. Write your…

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

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: The polynomial x(x^2-4)(x^2+4) has___ real roots.

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Q: 7.4x+4x3-2Sx2 -x+ 6 0 XI =-3

A: Since you have asked multiple questions, as per company guidelines we will solve the first question…

Q: Find the formula, in standard form y=ax2+bx+cy=ax2+bx+c, for a quadratic that has roots at x = -3…

A: We have to find a quadratic that has roots at x = -3 and x = -2, and has leading coefficient of 1.

Q: must every polynomial equation with real coefficients of degree 3 have at least one real root? Why

A: Recall: Fundamental theorem of Algebra: Any polynomial of degree n with real coefficient has n…

Q: If x+3 is a factor of P(x)=3x^3+5x^2-11x+3, find the roots of P(x)

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Q: Show that the equation x4 + 4x + c = 0 has at most two real roots

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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: find a real root of the equation x + x + x + 7 = 0 by using Bisection method

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

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Q: Suppose that a polynomial equation has the following six roots: -9, -6, 1 + i/2,1 – i/2, 6, and 9.…

A: Here, the required polynomial has six roots: -9,9,-6,6,1+i2, 1-i2

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 a polynomial f(x) of degree 3 that has the following zeros. -4 (multiplicity 2), 3 Leave your…

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Q: Solve for all the roots of x using Bairstow’s Method starting at r1 = 0.25 and s1 = 8.75 of the…

A: Solution:-

Q: Every polynomial equation of the nth degree has n real roots Select one: O True O False

A: Given :   Every polynomial of degree of nth degree has two types of roots : Real and Non-real /…

Q: Find the exact roots 6x¹-11x³+x²+33x-45=0

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Q: How  many roots does the polynomial have?

A: NOTE: Refresh your page if you can't see any equations. . to find the roots, take P=0

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

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Q: Find a polynomial f (x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: We have to find a polynomial f(x) of degree 4 that has the following zeros  8,-1,-1,0 i.e x =…

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

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Q: How many roots does x2 − 4x + 5 have

A: Answer: 2 roots

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: 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 f(x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0,-3, -8 Leave…

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

A: Answer and explanation is given below

Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 35x3…

A: Consider fx=35x3-404x2+211x-22, Here, p = factors of constant term 22. So, p=±1,±2,±11. Also, q =…

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: 2)(x°tx -35)(x2 -ext 1a) Lxス+axー27) =D0 2) Cax2 +SX -う)(3x<+5X-2) [xミ qxt 10) =0 3) Casx2-1) (xメ-…

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Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = 4 and x =-5.

A: It is given that, degree n=2 and the zeros are x=4 and x=-5 We have to find formula for a polynomial…

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: 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: 2.) × 1+2xー13x2- 14xt2イ=0

A: To find  The complete set of possible rational roots.

Q: If a + bi is a root of a polynomial equation with real coefficients, b ≠ 0, then________ is also a…

A: Given: if a+bi is the root of a polynomial equation with real coefficients,b≠0, then ..............…

Q: Find all the real roots of the following polynomial equation: 1) (3x + 2) (x² - 25) = 0 2) 2x³ – 3x²…

A: Find the real roots of polynomial equations. According to our guidelines , we can answer only first…

Q: what is the roots of x2 _ 5x _ 2 =0 ?

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Q: find all roots of the polynomial f(x)=(3x-2)(3x^2-5)(x^2+9)

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Q: Calculate the roots of the following polynomial equations: (a) x – 6x2 + 1lx – 6 = 0 given x = 1 is…

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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…

Q: find the roots x^4-4x^3+8x^2-8x+4=0

A: To find the roots.x4-4x3+8x2-8x+4=0