document.write( "Question 591273: find the polynomial of least degree having zeros: 8,-5 and 6i.\r
\n" ); document.write( "\n" ); document.write( "I am so lost with this. thanks. \n" ); document.write( "
Algebra.Com's Answer #375550 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
x = 8, x = -5, x = 6i or x = -6i\r
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\n" ); document.write( "\n" ); document.write( "x-8 = 0, x+5=0, x-6i, or x+6i=0\r
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\n" ); document.write( "\n" ); document.write( "(x-8)(x+5)(x-6i)(x+6i)=0\r
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\n" ); document.write( "\n" ); document.write( "(x-8)(x+5)(x^2-36i^2)=0\r
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\n" ); document.write( "\n" ); document.write( "(x-8)(x+5)(x^2+36)=0\r
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\n" ); document.write( "\n" ); document.write( "(x^2-3x-40)(x^2+36)=0\r
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\n" ); document.write( "\n" ); document.write( "(x^2+36)(x^2-3x-40)=0\r
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\n" ); document.write( "\n" ); document.write( "x^2(x^2-3x-40)+36(x^2-3x-40)=0\r
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\n" ); document.write( "\n" ); document.write( "x^4-3x^3-40x^2+36x^2-108x-1440=0\r
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\n" ); document.write( "\n" ); document.write( "x^4-3x^3-4x^2-108x-1440=0\r
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\n" ); document.write( "\n" ); document.write( "So the polynomial that has the zeros 8, -5, and 6i is \"x%5E4-3x%5E3-4x%5E2-108x-1440\" \n" ); document.write( "
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