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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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 50E
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37–46 ■ Finding a Polynomial with Specified Zeros Find a
polynomial with integer coefficients that satisfies the given
conditions.

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.
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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