3. • Use sequential continuity to show that any polynomial P(x) = x" + a,n-17"-1+...+ ao %3D is continuous from R to R. Give an example of a polynomial that has no zeros in R

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter4: Complex Numbers
Section4.2: Complex Solutions Of Equations
Problem 7ECP: Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.
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10.1. #3 

• Use sequential continuity to show that any polynomial P(x) = r" + a,n-1ª"-1+..+ ao
is continuous from R to R.
3.
• Give an example of a polynomial that has no zeros in R
Transcribed Image Text:• Use sequential continuity to show that any polynomial P(x) = r" + a,n-1ª"-1+..+ ao is continuous from R to R. 3. • Give an example of a polynomial that has no zeros in R
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