document.write( "Question 759161: Find a polynomial equation of degree 3 with integer coefficients that has x=10, 2i, -2i as its solutions \n" ); document.write( "

Algebra.Com's Answer #461887 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
Each of the roots gives you a binomial factor which composes the function. The simplest function for your given roots is
\n" ); document.write( " $\"f%28x%29=%28x-10%29%28x-%282i%29%29%28x-%28-2i%29%29\"$
\n" ); document.write( "Simply do the multiplications if you want general form:\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-2i%29%28x%2B2i%29=x%5E2-%284i%5E2%29=x%5E2%2B4\"$ , taken care of only the complex roots.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-10%29%28x%5E2%2B4%29=x%5E3-10x%5E2%2B4x-40\"$ , included the other root.\r
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\n" ); document.write( "\n" ); document.write( " $\"highlight%28f%28x%29=x%5E3-10x%5E2%2B4x-40%29\"$ \n" ); document.write( "

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