document.write( "Question 536660: If I gave you (j-5) as the binomial factor, can you show me a trinomial with a degree of 2 that this term could be a factor from? \n" ); document.write( "

Algebra.Com's Answer #352532 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
complex roots always come in pairs
\n" ); document.write( "that are conjugates, like
\n" ); document.write( " $\"+-5+%2B+j+\"$ and $\"+-5+-+j+\"$
\n" ); document.write( "the roots are:
\n" ); document.write( " $\"+%28x+-+%28+-5+%2B+j+%29%29%2A%28+x+-+%28-5+-+j+%29%29+\"$
\n" ); document.write( " $\"+x%5E2+-+%28+-5+%2B+j+%29%2Ax+-+%28+-5+-+j+%29%2Ax+%2B+%28+-5+%2B+j+%29%2A%28+-5+-+j+%29+\"$
\n" ); document.write( " $\"+x%5E2+%2B+5x+-+j%2Ax+%2B+5x+%2B+j%2Ax+%2B+25+-+5%2Aj+%2B+5%2Aj+-+j%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+10x+%2B+25+%2B+1+\"$
\n" ); document.write( " $\"+x%5E2+%2B+10x+%2B+26+\"$ answer
\n" ); document.write( "check:
\n" ); document.write( " $\"+x%5E2+%2B+10x+%2B+26+=+0+\"$
\n" ); document.write( " $\"+%28+-5+-+j+%29%5E2+%2B+10%2A%28+-5+-+j+%29+%2B+26+=+0+\"$
\n" ); document.write( " $\"+25+%2B+5j+%2B+5j+%2B+j%5E2+-+50+-+10%2Aj+%2B+26+=+0+\"$
\n" ); document.write( " $\"+25+%2B+10%2Aj+-+1+-+50+-+10%2Aj+%2B+26+=+0+\"$
\n" ); document.write( " $\"+25+%2B+26+-+1+-+50+=+0+\"$
\n" ); document.write( " $\"+0+=+0+\"$
\n" ); document.write( "You can check other root \n" ); document.write( "

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