document.write( "Question 1096547: find a polynomial p with integer coefficients such that 5^2/3 is a zero of p.\r
\n" ); document.write( "\n" ); document.write( "p(x)= \n" ); document.write( "

Algebra.Com's Answer #710996 by greenestamps(13198) $\"\"$ $\"About$

You can put this solution on YOUR website!

If you really mean that a root is $\"5%5E2%2F3\"$ , then tutor ikleyn's answer is right.

\n" ); document.write( " $\"x-5%5E2%2F3+=+0\"$
\n" ); document.write( " $\"3x-5%5E2+=+0\"$ , or $\"3x-25+=+0\"$
\n" ); document.write( "which would give you the polynomial
\n" ); document.write( " $\"p%28x%29+=+3x-25\"$

\n" ); document.write( "My guess is that you really wanted a root to be $\"5%5E%282%2F3%29\"$

\n" ); document.write( " $\"x-5%5E%282%2F3%29+=+0\"$
\n" ); document.write( " $\"x+=+5%5E%282%2F3%29\"$
\n" ); document.write( " $\"x%5E3+=+5%5E2\"$
\n" ); document.write( " $\"x%5E3+=+25\"$
\n" ); document.write( "which would give you the polynomial
\n" ); document.write( " $\"p%28x%29+=+x%5E3-25\"$ \n" ); document.write( "

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