document.write( "Question 55205: write a polynomial of the 5th degree that has the given numbers as its zeros: -2, -1, 0, -2i. multiply all factors out, do not leave in factored form. \n" ); document.write( "
Algebra.Com's Answer #37495 by ankor@dixie-net.com(22740)\"\" \"About 
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write a polynomial of the 5th degree that has the given numbers as its zeros: -2, -1, 0, -2i. multiply all factors out, do not leave in factored form.
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\n" ); document.write( "How about this?
\n" ); document.write( " mult x*(x+2)*(x+1)= x^3 + 3x^2 + 2x
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\n" ); document.write( "x = -2i
\n" ); document.write( "Square both sides:
\n" ); document.write( "x^2 = 4(-1)
\n" ); document.write( "x^2 = -4
\n" ); document.write( "x^2 + 4 = 0
\n" ); document.write( ":
\n" ); document.write( "(x^2 + 4)*(x^3 + 3x^2 + 2x) = x^5 + 3x^4 + 6x^3 + 12x^2 + 8x \n" ); document.write( "
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