document.write( "Question 193530This question is from textbook
\n" ); document.write( ": find an nth degree polynomial function with real coefficients satisfying the given conditions. n = 3; 3 and i are zeros; f(2) = 30 \n" ); document.write( "

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zeros are 3,3,i
\n" ); document.write( "factors are (x-3)(x-3)(x^2+1)
\n" ); document.write( "distributing
\n" ); document.write( "(x^2+1) (x^2-6x+9)
\n" ); document.write( "distributing further
\n" ); document.write( "x^4-6x^3+9x^2 +x^2 -6x+9
\n" ); document.write( "simplify
\n" ); document.write( "x^4-6x^3+10X^2-6x+9
\n" ); document.write( "if Y(2)=30,,,lets see have how above calculates
\n" ); document.write( "Y(2)= (2)^4 -6(2)^3+10(2)^2-6(2)+9=5
\n" ); document.write( "therefore we need to multiply all terms by 6 (5*6=30)
\n" ); document.write( "y(x)= 6x^2 -36x^3+60x^2-36x+54,,,,ANSWER
\n" ); document.write( "calculating as above Y(2)=30
\n" ); document.write( "y(2)=6(2)^4-36(2)^3+60(2)^2-36(2)+54=30 \n" ); document.write( "

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