document.write( "Question 701511: Write a polynomial equation of least degree with roots of 4, i, -i
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Algebra.Com's Answer #432451 by MathLover1(20850) $\"\"$ $\"About$

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you are given three roots, means a polynomial equation of least degree will be a polynomial of $\"third\"$ degree\r
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\n" ); document.write( " $\"%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29+=0\"$ where $\"x%5B1%5D=4\"$ , $\"x%5B2%5D=i\"$ , and $\"x%5B3%5D=-i\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%28x-i%29%28x-%28-i%29%29+=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%28x-i%29%28x%2Bi%29+=0\"$ .....multiply\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%28x%5E2%2Bxi-xi-i%5E2%29+=0\"$ ...recall $\"i%5E2=-1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%28x%5E2%2Bcross%28xi%29-cross%28xi%29-%28-1%29%29+=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%28x%5E2%2B1%29+=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3%2Bx-4x%5E2-4+=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3-4x%5E2%2Bx-4+=0\"$ \r
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