A polynomial f(x) with real coefficients and leading coefficient 1 has the given zero and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coefficients that are irreducible over ℝ. 5 + 9i;    degree 2

Q: In Problem,explain why the facts given are contradictory.

A: Given:

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A: We are asked to find a polynomial f(x) of degree 3 with real coefficients and the following zeroes…

Q: A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and…

A: The given zeros of a polynomial is 2 , -2-5i

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A: See attached file for a step by step explanation.

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A: Consider the general form polynomial of degree n which is shown below,

Q: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. −1 (multiplicity…

A: We have to find polynomial

Q: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.

A: Given: Polynomial f(x) with leading coefficient 1 and zeros -2,0,5.

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Q: 1. Write a polynomial function f of least degree that has rational coefficients, a leading…

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Q: A polynomial function f of degree 5 whose coefficients are real numbers has the zeros 1 ,5i,and 1+i…

A: A polynomial has zeros 1, 5i and 1+i

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A: (a) Given data is : Zeroes are 2+i and 0 To find the third degree polynomial fx

Q: a. Find a third-degree polynomial f(x) with integer coefficients and with zeros of and 4 + 2i. b.…

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

Q: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -3, 1+i X S

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Q: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.

A: To find a polynomial  f(x) with leading coefficient 1 and having the given degree and zeros.  degree…

Q: A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and…

A: Given- Consider the roots 3+5i and -1-i. To find- A polynomial f (x) with real coefficients and…

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A:

Q: 4. Find the polynomial function f(x) of degree 4 with zeros 2 (multiplicity 2) and 3i, f(0) =36

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

A: Given zeros of polynomial of degree 4 are -5-4i &-2 withmultiplicity 2

Q: A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and…

A: Given: A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and…

Q: the given degree and zeros. Degree​ 4; ​ zeros: −4−2i;  −1 multiplicity 2

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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: Form a polynomial f(x) with real coefficients having the given degree and zeros. 40) Degree: 4;…

A: As per the company guidelines,we can answer ony one question at a time,please post rest questions…

Q: Find a polynomial function P of the lowest possible degree, having real coefficients, a leading…

A: topic - polynomials

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A:

Q: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.

A: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.  Degree -…

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

A:

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

A: Given,          Degree : 4 ; zeros : 3+3i ; -1 multiplicity 2

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A: Given:Q is a polynomial of degree3roots :-9,1+i

Q: Find a polynomial function of degree 3 with the given numbers as zeros. Assume that the leading…

A: Here we find the polynomial function of degree 3 with the given number of zeros are -2,3i,-3i .…

Q: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros 1,4i

A: Given data: The first root of the cubic polynomial is a=1. The second root of the polynomial is…

Q: f is a polynomial function of degree 3 whose coefficients arereal numbers; its zeros are 2, i, and 3…

A: The Conjugate pairs Theorem states that : if a polynomial f(x) with realcoefficients and have…

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. 4) Degree 3: zeros:…

A:

Q: 3. Find a least degree polynomial function with real coefficients that has the given zeros.(The…

A: Solving the problem by obtaining the polynomial.

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A:

Q: A 6th degree polynomial with roots at: x=1, x+1= 2  Square root 3, X=3+i

A:

Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the…

A:

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

A: Since, conjugate roots always occur in pair so -2-2i is also a root…

Q: 7. find a polynomial function with real coefficients that has the given zeros: 0, 3, 2+i

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 3,…

A: The degree of polynomial f(x) is 4 and having zeros 3 with multiplicity 2 and 6i. Since 6i is zero…

Q: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

A: Given:   Zeros: 2-i , 3

Q: 14)Find a polynomial function f with real coefficients having the given degree and zeros. Degree: 4;…

A: Complex Conjugate theorem :-It states that , given the polynomial p(x) with real coefficients…

Q: #10. A polynomial f(x) with real coefficients and leading coefficient 1 has the given zero(s) and…

A: At the given condition:                Polynomial with real coefficients , each complex root…

Q: find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

A: Given Zeroes are x=-4i   and x=8 x+4ix-8=0 x2-8x+i4x-32i=0 x2+(4i-8)x-32i=0

Q: A polynomial function, f (x), has roots at x = -3, 1, and 5. The y-intercept is at -1. Determine the…

A: A polynomial function the f(x) has roots  x= -3,1 and 5 ,the Y intercept is at -1 To determine the…

Q: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 1, 4i

A: Given  two zeros 1 and 4i. Complex zeros occurs in pairs 4i is one of the zero . -4i is also a zero…

Q: Find a polynomial fuction f(x) of degree 3 with real coefficients that satisfies the given…

A: Using the factor theorem: If x = a is a zero of a polynomial P(x), then (x-a) is a factor of the…

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

A: here we us e the linear factors for the zeroes given see below the calculation

Q: uppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A:

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. 48) Degree: 4:…

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Q: A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and…

A: Given Zeroes= 4+3i, -2+i therefore conjugate of above zeroes are also zeroes of f(x) Therefore 4-3i,…