document.write( "Question 839332: Hello! On my math homework I am struggling deeply on a problem,
\n" ); document.write( "\"Write an equation of a quintic polynomial with roots 1, -2, 3, and i (imaginary, not a variable) with a y-intercept of 18\"
\n" ); document.write( "I am very lost on this, as I have tried several times and cannot find a solution.
\n" ); document.write( "Thanks! \n" ); document.write( "
Algebra.Com's Answer #505693 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"Write an equation of a quintic polynomial with roots 1, -2, 3, and i (imaginary, not a variable) with a y-intercept of 18\"
\n" ); document.write( ":
\n" ); document.write( "The factors derived from the above: (x-1)(x+2)(x-3)(x^2+1)
\n" ); document.write( "FOIL (x-1)(x+2) = x^2 + x - 2
\n" ); document.write( "then
\n" ); document.write( "(x-3)*(x^2 + x - 2) = x^3 - 2x^2 - 5x + 6
\n" ); document.write( "then
\n" ); document.write( "(x^2+1)*(x^3-2x^2-5x+6) = x^5 - 2x^4 - 4x^3 + 4x^2 - 5x + 6
\n" ); document.write( "To get a y intercept of 18 multiply eq by 3
\n" ); document.write( "3x^5 - 6x^4 - 12x^3 + 12x^2 - 15x + 18 is polynomial
\n" ); document.write( ":
\n" ); document.write( "Looks like this
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