document.write( "Question 377607: o NEED TO WRITE A POLYNOMIAL FUNCTION OF LEAST DEGREE THAT HAS REAL COEFFICIENTS, THE GIVEN ZERO, AND LEADING COEFFICIENT OF 1.\r
\n" ); document.write( "\n" ); document.write( "First problem gave me the zeros of 2, -2 and -6i\r
\n" ); document.write( "\n" ); document.write( "Therefore to start:
\n" ); document.write( "(X-2)(X+2)(X+6i)\r
\n" ); document.write( "\n" ); document.write( "I multiplied (X-2)(X+2) and got (x2 - 4)\r
\n" ); document.write( "\n" ); document.write( "next I multiplied (x2 - 4)(X+6i) using the FOIL method
\n" ); document.write( "x3 + 6x2i - 4x - 24i\r
\n" ); document.write( "\n" ); document.write( "I know that i2 = -1 and that i = rad -1 but don't know how to deal with the \"i\" in this problem to make it a polynomial function. \n" ); document.write( "
Algebra.Com's Answer #268318 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
If you have a complex root, then it's complex conjugate is also a root since complex roots only occur as complex conjugate pairs.
\n" ); document.write( "\"f%28x%29=1%2A%28x-2%29%28x%2B2%29%28x-6i%29%28x%2B6i%29\"
\n" ); document.write( "\"f%28x%29=%28x%5E2-4%29%28x%5E2%2B36%29\"
\n" ); document.write( "Take it from there to complete the expansion.
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