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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 50E
Related questions
Question
37–46 ■ Finding a Polynomial with Specified Zeros Find a
polynomial with integer coefficients that satisfies the given
conditions.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage