document.write( "Question 873059: Write the simplest third degree polynomial with integer coefficient that has -2 and square root 5 as zeros \n" ); document.write( "

Algebra.Com's Answer #526619 by reviewermath(1029) $\"\"$ $\"About$

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Q:
\n" ); document.write( "Write the simplest third degree polynomial with integer coefficient that has -2 and square root 5 as zeros
\n" ); document.write( "A:
\n" ); document.write( "If $\"sqrt%285%29\"$ is a root , then the conjugate $\"-sqrt%285%29\"$ is also a root since the coefficients of the polynomial are integers.
\n" ); document.write( " $\"sqrt%285%29\"$ and $\"-sqrt%285%29\"$ are roots of the quadratic equation $\"x%5E2+-+5+=+0\"$ . Therefore, the third degree polynomial is $\"%28x+%2B+2%29%28x%5E2+-+5%29+=+0\"$ or $\"highlight%28x%5E3++%2B+2x%5E2+-+5x+-+10+=+0%29\"$ .
\n" ); document.write( "The polynomial function is $\"highlight%28f%28x%29+=+x%5E3++%2B+2x%5E2+-+5x+-+10%29\"$ \n" ); document.write( "

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