document.write( "Question 1041435: A1. Consider the function $\"f%28x%29=x%5E2%2Ae%5E%28-x%29%5E2\"$ .
\n" ); document.write( "a. Determine the critical points of f.
\n" ); document.write( "b. Determine the absolute maximum and absolute minimum values of f on the interval[-2, 2]\r
\n" ); document.write( "\n" ); document.write( "A2. Suppose that f is a polynomial of degree n, where n ≥ 2. Show that if f has n distinct roots, then $\"f%5E1%28x%29\"$ must have $\"n-1\"$ distinct roots.
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\n" ); document.write( "Thankyou for looking over! \n" ); document.write( "

Algebra.Com's Answer #656425 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "A2. Suppose that

is a polynomial of degree

, where

. Show that if

has

distinct roots, then

must have

distinct roots.\r
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\n" ); document.write( "\n" ); document.write( "Between any two roots of

there must be a root of

by Rolle's Theorem. But since all

roots of

are distinct and since

is perforce of degree

, there can only be

roots of

and they must be distinct. \r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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