Find a polynomial of degree 2 that has two irrational zeros. Explain how you created this polynomial.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 13E
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Find a polynomial
Find a polynomial
of degree 3 that has no real zeros (or explain why it is impossible)
of degree 4 that has no real zeros (or explain why it is impossible)
Transcribed Image Text:Find a polynomial Find a polynomial of degree 3 that has no real zeros (or explain why it is impossible) of degree 4 that has no real zeros (or explain why it is impossible)
Find a polynomial of degree 2 that has two irrational zeros. Explain how you created this polynomial.
Transcribed Image Text:Find a polynomial of degree 2 that has two irrational zeros. Explain how you created this polynomial.
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