document.write( "Question 1152238: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree:4; zeros: -5-3i; -4 multiplicity 2 \n" ); document.write( "

Algebra.Com's Answer #774216 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "Degree $\"4\"$ ;
\n" ); document.write( "zeros:
\n" ); document.write( " $\"x%5B1%5D=-5-3i\"$ , -> complex zeros always com in pairs, so you also have
\n" ); document.write( " $\"x%5B2%5D=-5%2B3i\"$
\n" ); document.write( " $\"x%5B3%5D=-4\"$ ->multiplicity 2, so you have one more same zero
\n" ); document.write( " $\"x%5B4%5D=-4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-%28-5-3i%29%29%28x-%28-5%2B3i%29%29%28x-%28-4%29%29%28x-%28-4%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%2B5%2B3i%29%28x%2B5-3i%29%28x%2B4%29%28x%2B4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%5E2%2B10x%2B34%29%28x%2B4%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%5E2%2B10x%2B34%29%28x%5E2%2B8x%2B16%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E4%2B+18x%5E3%2B+130x%5E2%2B+432x%2B+544+++\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );