document.write( "Question 970036: And this is similar (I think) to my last post...Help Please!!\r
\n" ); document.write( "\n" ); document.write( "Form a polynomial f(x) with real coefficients having the given degree and zeros.
\n" ); document.write( "Degree 4; zeros: 2, multiplicity 2; 3i\r
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\n" ); document.write( "\n" ); document.write( "I truly do not understand any of this...Thank you for any help!!
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Algebra.Com's Answer #592705 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Form a polynomial \"f%28x%29\" with real coefficients having the given degree and zeros.\r
\n" ); document.write( "\n" ); document.write( "Degree \"4\"; \r
\n" ); document.write( "\n" ); document.write( "zeros:
\n" ); document.write( "\"x%5B1%5D=2\", multiplicity \"2\"; =>use it two times, or square it
\n" ); document.write( "\"x%5B2%5D=3i\"=>we also have \"x%5B3%5D=-3i\" because complex zeros come always in pairs\r
\n" ); document.write( "\n" ); document.write( "then, using zero product rule, \"f%28x%29\" will be:\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-x%5B1%5D%29%5E2%28x-x%5B2%5D%29%28x-x%5B3%5D%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-2%29%5E2%28x-3i%29%28x-%28-3i%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x%5E2-4x%2B4%29%28x-3i%29%28x%2B3i%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x%5E2-4x%2B4%29%28x%5E2-%283i%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x%5E2-4x%2B4%29%28x%5E2-9i%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x%5E2-4x%2B4%29%28x%5E2-9%28-1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x%5E2-4x%2B4%29%28x%5E2%2B9%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E4-4x%5E3%2B4x%5E2%2B9x%5E2-36x%2B36\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E4-4x%5E3%2B13x%5E2-36x%2B36\"\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C10%2C+-10%2C+50%2C+x%5E4-4x%5E3%2B13x%5E2-36x%2B36%29+\"\r
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