document.write( "Question 573197: Writing functions from roots:\r
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document.write( "Degree of 4 and roots are 2i, 3, and 6\r
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document.write( "and \r
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document.write( "Degree of 5 and roots are 0, 1, 2, plus or minus √31\r
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document.write( "Thanks in advance I really appreciate it ;) \n" );
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Algebra.Com's Answer #368712 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! 1st nugget ___ if r is a root of a function, then x-r is a factor \n" ); document.write( "2nd nugget ___ complex roots (containing i) occur in conjugate pairs (a+bi and a-bi)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f(x) = (x - 2i)(x + 2i)(x - 3)(x - 6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "g(x) = (x)(x - 1)(x - 2)(x - √31)(x + √31)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can multiply the factors together to get the expanded form of the function \n" ); document.write( " |