document.write( "Question 73796This question is from textbook Algebra 2
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document.write( ": Hello! Please help me figure this out..I am just learning about polynomials. The examples in my book don't seem to help me with this problem. Could you explain to me how I would write this function?\r
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document.write( "Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i. \n" );
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Algebra.Com's Answer #52833 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i. \n" ); document.write( ": \n" ); document.write( "We have: \n" ); document.write( "x = 4, therefore one of the factors is (x-4) \n" ); document.write( "Also \n" ); document.write( "x = 2i \n" ); document.write( "same as: \n" ); document.write( "x = Sqrt(-4) \n" ); document.write( "Square both sides: \n" ); document.write( "x^2 = -4 \n" ); document.write( ": \n" ); document.write( "x^2 + 4 = 0 \n" ); document.write( ": \n" ); document.write( "Our equation has factors: (x-4)(x^2 + 4) \n" ); document.write( "FOIL this: \n" ); document.write( "x^3 + 4x - 4x^2 - 16 \n" ); document.write( "or \n" ); document.write( "x^3 - 4x^2 + 4x - 16, the normal order \n" ); document.write( ": \n" ); document.write( "Did this help? \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |