6. Does there exist a polynomial of degree 4 with integer coefficients that has zeroes i, 2i, 3i and 4i? If so, find it. If not, explain why.

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A: Given- The roots are 2,2 and 1+i. To Find- The polynomial function.

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: Given: R has degree 4 and zeros 3 - 4i and 4, with 4 a zero of multiplicity 2.

Q: 5. Find a polynomial of degree 4 with the zeros 3i and-v6j

A: Explanation of the solution is given below...

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. S has degree 4 and…

A: Given, 4 degree zeroes = 2i and 3i

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A: Given query is to find the 5th zero.

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Q: 9. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and –1, with -1 a…

A: 3i and -1, with -1 a zero of multiplicity 2

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A: A polynomial of degree n≥1 has exactly  ___________  zeros if a zero of multiplicity m is counted m…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: Follow the procedure given below.

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A: 1 is the zero of given polynomial.

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Q: find the polynomial of degree 3 with zeros that include 3i, 3 and P(1)=3

A: The given zeros of a polynomial function are 3i and 3.

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Q: 6. Determine the constant term of the polynomial with integer coefficients of lowest degree with…

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Q: Find a fourth-degree polynomial with integer coefficients that has zeros 5i and –1, with -1 a zero…

A: Given: A fourth degree polynomial has zeros 5i and -1 , with -1 a zero of multiplicity 2.

Q: 1. Determine the equation for a polynomial given a degree of 1 with zeros at o, 2 (multiplicity 3),…

A: To find the equation in factor form

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Q: 5. True or False A polynomial function of degree n with real coefficients has exactly n complex…

A: A polynomial function of degree n with real coefficient has exactly n complex zeros. At most n of…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

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Q: Does there exist a polynomial of positive degree in Z6[x] that is a unit?

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

A: Since, we know that if a zero of the polynomial is a complex number,the its complex conjugae will be…

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A: Since -1 is zero of polynomial with multiplicity 2, so we count -1 twice. Also complex zeros always…

Q: 21. Find a fourth-degree polynomial with integer coefficients that has zeros x=3i and x=-1. The root…

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A: For (a),  We need to find the polynomial of degree 4 that has √2 + √7 as a root. So,

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

A: Given

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Q: 3. A polynomial of degree n 21 has exactly a zero of multiplicity m is counted m times. zeros if

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A: polynomial P(x) with degree 3 leading coefficient 1 zeros at 8, 5, and 0

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Q: 13) -1, 3, 4 14) 0, -5, -4

A: Given; 13)  -1, 3, 4 14) 0, -5, -4.

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A: Rx is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose that Rx has the…

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