37-46 - Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. 37. P has degree 2 and zeros 1 + i and 1 - i. 38. P has degree 2 and zeros 1 + iVĩ and 1 - iv2. 39. Q has degree 3 and zeros 3, 2i, and – 2i. 40. Q has degree 3 and zeros 0 and i. 41. P has degree 3 and zeros 2 and i. 42. Q has degree 3 and zeros -3 and 1 + i. 43. R has degree 4 and zeros 1 - 2i and 1, with 1 a zero of multiplicity 2. 44. S has degree 4 and zeros 2i and 3i. 45. T has degree 4, zeros i and1+ i, and constant term 12. 46. U has degree 5, zeros , -1, and -i, and leading coefficient 4; the zero -1 has multiplicity 2.
37-46 - Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. 37. P has degree 2 and zeros 1 + i and 1 - i. 38. P has degree 2 and zeros 1 + iVĩ and 1 - iv2. 39. Q has degree 3 and zeros 3, 2i, and – 2i. 40. Q has degree 3 and zeros 0 and i. 41. P has degree 3 and zeros 2 and i. 42. Q has degree 3 and zeros -3 and 1 + i. 43. R has degree 4 and zeros 1 - 2i and 1, with 1 a zero of multiplicity 2. 44. S has degree 4 and zeros 2i and 3i. 45. T has degree 4, zeros i and1+ i, and constant term 12. 46. U has degree 5, zeros , -1, and -i, and leading coefficient 4; the zero -1 has multiplicity 2.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
37–46 ■ Finding a Polynomial with Specified Zeros Find a
polynomial with integer coefficients that satisfies the given
conditions.

Transcribed Image Text:37-46 - Finding a Polynomial with Specified Zeros Find a
polynomial with integer coefficients that satisfies the given
conditions.
37. P has degree 2 and zeros 1 + i and 1 - i.
38. P has degree 2 and zeros 1 + iVĩ and 1 - iv2.
39. Q has degree 3 and zeros 3, 2i, and – 2i.
40. Q has degree 3 and zeros 0 and i.
41. P has degree 3 and zeros 2 and i.
42. Q has degree 3 and zeros -3 and 1 + i.
43. R has degree 4 and zeros 1 - 2i and 1, with 1 a zero of
multiplicity 2.
44. S has degree 4 and zeros 2i and 3i.
45. T has degree 4, zeros i and1+ i, and constant term 12.
46. U has degree 5, zeros , -1, and -i, and leading coefficient
4; the zero -1 has multiplicity 2.
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