Question 1183370
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Your answer to part a is incorrect.  Since you started with a 4th-degree polynomial, the fundamental theorem of algebra demands that you have 4 zeros counting multiplicities.  You only list 3.  Hint: One of your listed zeros has a multiplicity of 2.


If *[tex \Large a] is a zero of a polynomial, then *[tex \Large x\ -\ a] is a factor of the polynomial.  Since you have four zeros, you need to have four factors.


Any real number zeros are *[tex \Large x]-intercepts.  Hint: when you have an even-numbered multiplicity, the graph is tangent to the *[tex \Large x]-axis.


																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
*[illustration darwinfish.jpg]

From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> 
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