document.write( "Question 1129188: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.\r
\n" ); document.write( "\n" ); document.write( "n=3;
\n" ); document.write( "-3 and 3+5i are zeros;
\n" ); document.write( "f (1) = 116\r
\n" ); document.write( "\n" ); document.write( "f(x)= \n" ); document.write( "
Algebra.Com's Answer #745741 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.
\n" ); document.write( "n=3;
\n" ); document.write( "-3 and 3+5i are zeros;
\n" ); document.write( "f (1) = 116
\n" ); document.write( "----
\n" ); document.write( "Since the coefficients are Real Numbers 3-5i is also a zero.
\n" ); document.write( "----
\n" ); document.write( "f(x) = a(x+3)(x-3-5i)(x-3+5i)
\n" ); document.write( "f(x) = a(x+3)[(x-3)^2-(25i^2)]
\n" ); document.write( "f(x) = a(x+3)(x^2-6x+9+625)
\n" ); document.write( "----
\n" ); document.write( "Solve for \"a\"::
\n" ); document.write( "116 = a(1+3)(1-6+634)
\n" ); document.write( "116 = a(4)(629)
\n" ); document.write( "a = 0.046
\n" ); document.write( "----
\n" ); document.write( "f(x) = 0.46(x+3)(x^2-6x+634)
\n" ); document.write( "-------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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