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

Q: Find a polynomial f(x) of degree 3 that has the following zeros. 0, 2, -6 Leave your answer in…

A: A polynomial will have α as a zero if and only if x-α is a factor of the polynomial.     For zeros…

Q: Find a quadratic polynomial whose sum and product respectively of the zeroes are as given .Also find…

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Q: Find a polynomial (fx) of degree 5 that has the following zeros. -9, 4, 6, -7, 3 Leave your answer…

A: Find a polynomial f(x) of degree 5 that has the following zeros. -9, 4, 6, -7, 3 Leave your answer…

Q: find a polynomial function with real coefficients that has the given zeros.  A) 0,2,3i B) 1,1,2+√3…

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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: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

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Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

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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 alpha and beta are zeroes of x^-x-30,then form a quadratic polynomial whose zeroes are –2alpha…

A: α & β are zeroes of x2-x-30. That is, α+β=--11  &  αβ=-301   ∵If α & β are zeroes of…

Q: Find all real zeros of the polynomial P(x)=6x^4-7x^3-12x^2+3x+2 by first searching for the possible…

A: The factors of the leading coefficient (6) are 2 , 3, 6 and 1. The factors of the constant term (2)…

Q: Describe how to use Descartes’s Rule of Signs to determine the possible number of negative roots of…

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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: The number of zeros of the polynomial x?+ 4x +1 in Zs is:

A: As Z_6 is finite, we check for zeros of polynomial by substituting every  elements of Z_6.

Q: Determine the maximum number of real roots and possible real roots of the following polynomial…

A: We know that, a polynomial equation of degree n has maximum n roots.  If a+ib is a root of a…

Q: Determine whether the statement is true or false, "Every polynomial equation of degree 3 with real…

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

Q: True or False: If 2 is a root of a polynomial equation, then (x – 2) is a factor of the polynomial.

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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: 6) Write the equation of a polynomial function, in standard form, that has the roots of: - 2 and 5+…

A: In this question we need to find a polynomial equation in standard form.

Q: Find a polynomial / (x) of degree 4 that has the following zeros. 0, -8, 9, -5 Leave your answer in…

A: Given data: The first zero of the polynomial is x1=0. The second zero of the polynomial is x2=-8 The…

Q: 12. If x=-1 is a root of x + 4x? -x -4 =0, use synthetic division to factor the polynomial…

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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: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x-3 and them verify…

A: Please refer to the image below

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

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Q: Find a degree 3 polynomial that has zeros -3, 2 and 5 and in which the coefficient of ² is - 12. The…

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Q: Find all the real zeros of teh polynomial. Use the Quadratic Formula if necessary given. P(x) = 4x3…

A: Zeroes are those values for the polynomial which gives zero value for the polynomial when replaced…

Q: What is the polynomial, in factored form, for the function with the leading coefficient 6, and zeros…

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Q: Write an algebraic expression for a degree 3 polynomial with real coefficients having zeros 4 and 3i…

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Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: O 2 None

A: Number of zeros in the polynomial equation is termed as the whole polynomial equation is zero for…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 0, 6, 4, -3 Leave your answer in…

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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 polynomial f(x) of degree 3 that has the zeros 2" * V6, and - V6.

A: fx is a polynomial of degree 3 that has zeros 12, 6 and -6. The factors are 2x-1,  x-6  &  x+6.

Q: Find a polynomial f (x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0, -7, -8…

A: Note:- A zeros of a polynomial are a,b,c,d and f then  Equation of polynomial will be  f(x)=…

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: Find the equation of the polynomial with roots √2 and -5i, real coefficients, and passing through…

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Q: Suppose that a polynomial equation has the following six roots: -4, -2, 1 + iv2, 1 - iv2, 2, and 4.…

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Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. -3, 2-i

A: We find the polynomial fx of degree 3 with real coefficients and thezeros are -3,2-i

Q: Find a polynomial equation with real coefficients that has the given roots. 0,-4,9

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Q: Find the degree two polynomial, in standard form, with real coefficients that has a zero 3i+6.

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Q: Create a polynomial equation with real coefficients that has 2 and 1-i as roots.

A: To create a polynomial equation with real coefficients that has 2 and 1-i as roots.

Q: Write a polynomial function with the roots/zeros: 0 (with multiplicity 3), -1/2, 3/4, 7i√2, and…

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Q: A fourth-degree polynomial with real coefficients canhave −5, −8i, 4i, and 5 as its zeros.

A: Given the statement that a fourth degree polynomial has real coefficients can have  -5 ,-8i 4i and 5…

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: 3. If x=-2 is one of the roots of 6x'+11x - 4x -4 = 0, find the other two roots of the polynomial…

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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: If 2-i is a complex zero of P(x)= x* – 3x – x² +13x-10, find ALL zeros of the polynomial.

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Q: Find a forth degree polynomial that has the zeros 3, -2, i.

A: Explanation and Solution is given below....

Q: Find a quadratic polynomial whose sum and product respectively of the zeroes are as given  also…

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Q: Find the function in stardard form of the polynomial that has the roots x=1,2 and -5. (Assume that…

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Q: Form a polynomial (fx) with real coefficients having the given degree and zeros.   Degree​4…

A: The zeros of the polynomial f(x) is 2, -2+3i and the zero 2 has multiplicity 2. Remember that…