document.write( "Question 1198743: Construct a polynomial function with the following properties: third degree, only real coefficients, −1 and 2+i are two of the zeros, y-intercept is −15. \n" ); document.write( "

Algebra.Com's Answer #832366 by josgarithmetic(39621) $\"\"$ $\"About$

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$\"a%28x%2B1%29%28x-%282%2Bi%29%29%28x-%282-i%29%29=-15\"$
\n" ); document.write( " $\"a%28x%2B1%29%28x-2-i%29%28x-2%2Bi%29=-15\"$
\n" ); document.write( " $\"a%28x%2B1%29%28%28x-2%29%5E2-1%29=-15\"$
\n" ); document.write( " $\"a%28x%2B1%29%28x%5E2-4x%2B4%2B1%29=-15\"$
\n" ); document.write( " $\"a%28x%2B1%29%28x%5E2-4x%2B5%29=-15\"$
\n" ); document.write( "The multiplication for the polynomial is not yet finished, but letting x=0 allows to find the factor, \"a\". \n" ); document.write( "

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