document.write( "Question 553731: What is the degree of the simplest polynomial with integger coefficients that has square root of 5 and 5i as zeros? Explain. A.)3 B.)4 C.)5 D.)6 \n" ); document.write( "

Algebra.Com's Answer #361035 by josmiceli(19441) $\"\"$ $\"About$

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The answer is (A)3 because complex roots
\n" ); document.write( "always come in pairs which look like
\n" ); document.write( " $\"+a+%2B+b%2Ai+\"$ and $\"+a+-+b%2Ai+\"$
\n" ); document.write( " $\"+-5i+\"$ is actually $\"+0+-+5i+\"$ , so there
\n" ); document.write( "must be a $\"+0+%2B+5i+\"$ , making 3 zeros \n" ); document.write( "

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