EXAMPLE 1 Using the Conjugate Pairs Theorem A polynomial function f of degree 5 whose coefficients are real numbers has the zeros 1, 5i, and 1 + i. Find the remaining two zeros.

Q: Find a polynomial function f (x) of least degree having only real coefficients and zeros -7 and 4 +…

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Q: In Problem,information is given about a polynomial function f(x) whose coefficients are real…

A: information is given about a polynomial function f(x)  whose coefficients are real numbers. To find…

Q: 12. Find a polynomial with degree 3 and the given zeros: x = in expanded form. 1, 6i. Write the…

A: To find the polynomial with degree 3 Heving zeros 1, 6i

Q: Find a polynomial function of degree 5 with - 1 as a zero of multiplicity 3, 0 as a zero of…

A: SOLUTION-

Q: Find the polynomial function f with real coefficients that has the given degree, zeros, and solution…

A: Given Data: The degree of the function is: 4 The zeros of the functions are: -4, 1, i The solution…

Q: Let f be the polynomial function of degree 4 with real coefficients, leading coefficient 1, and…

A: The complex conjugates always occur in pairs so whenever in any polynomial expression whether it is…

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

A: The polynomial is  x3 - 3x2 - 5x + 39

Q: Find a possible formula for a polynomial g with the given properties. g is fourth degree, g has a…

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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: In Problem,information is given about a polynomial function f(x) whose coefficients are real…

A: Given: Degree 6zeros: i, 3-2i, -2+iTo find the other roots of the polynomials:

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

Q: Find a polynomial function f(x) of degree 3 a) If f (x) has zeros 1, -1, 0; and f (2) =3 b) If f(x)…

A: I answered for part a. Part b is not clear about zeros.

Q: In Problem,information is given about a polynomial function f(x) whose coefficients are real…

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Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros.…

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Q: If f (x) is a polynomial with real coefficients and zeros of 3 (multiplicity 1), -1 (multiplicity…

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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; zeros:…

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

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

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

Q: 8. Find a fourth degree polynomial function with zeros 4, –2, 3i, and –3i.

A: given zeros 4,-2,3i and-3i

Q: Form a polynomial f(x) with real coefficients having the given degree, zeros and constant. 6)…

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Q: Zeros: - 4, - 1,3, 4; degree: 4

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. 8) Degree: 3;…

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Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros.…

A: Given: Zeros of Polynomial:13, 4-i, 4+i To Find: Polynomial of smallest degree with integer…

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: #41

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Q: A polynomial has a zero at 0 (multiplicity 2), 4, and -1. Write the function in standard form to…

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

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

A: Solution attached below

Q: Which of the following statements about a polynomial function is false? A polynomial function of…

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Q: Find a polynomial of degree 3 (here ao, a1, a2, a3 are real numbers) such that p(x) = ao + a₁x +…

A: This question can be solved using the concept of solving system of linear equation using matrix.

Q: 2. Find a polynomial with integer coefficients that has degree 3 and zeros 3, 2i, -2i.

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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: nat is a polynomial function in standard form with zeroes 1, 2, -3, and –1? Og(x) =x* + x³ – 7x-x+ 6…

A: We have to find polynomial by given zeros.

Q: 14)Find a polynomial function f with real coefficients having the given degree and zeros. Degree: 5;…

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Q: Give an example ofa. a second-degree polynomial in x.b. a cubic polynomial in x.c. a polynomial of…

A: (a)Answers will vary one of the possible answers is given below:Polynomial regression equation:If a…

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

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

Q: Which of the following statements about a polynomial function is false? A polynomial function of…

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Q: 3 and 2i (fully expand the polynomial function) Polynomial Function:

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Q: 2+ 2, 2-2, and 1

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Q: . If a polynomial function of degree 3 has 1 as one of its roots, what is the maximum num of real…

A: Topic:- polynomial functions

Q: 8. Form a polynomial function with real coefficients having a degree of 4 and the zeros: -3, 1, 2i.…

A: Given,            A polynomial function with real coefficients having a degree of 4 and the zeros:…

Q: 4) Form a polynomial function whose real zeros and degrees are given. Zeros: 4 (multiplicity 3), –3…

A: we have to form a polynomial with degree 4 whose zeros are given to us 4 and -3. And we have the…

Q: 6. If a polynomial function of degree 4 has 1+i as one of its roots, what is the maximum number of…

A: Given:  p(x) is a polynomial of degree 4 and one of its root is 1+i.    To find:  The maximum…

Q: #37

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Q: Form a polynomial whose real zeros and degree are given. Zeros: - 3, 0, 5; degree: 3 Type a…

A: Given, The real zeros are -3,0,5 Degree = 3

Q: suppose a polynomial function of degree 3 has zeros -1/3,2, and 8. factor the function over the real…

A: To determine the factors of the polynomial.

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

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

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Q: 3) Form a polynomial function whose real zeros and degrees are given. a. Zeros: –3, 2,5 Degree: 3 b.…

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