document.write( "Question 102562This question is from textbook Algebra and Trigonometry
\n" ); document.write( ": The degree three polynomial f(x) with real coefficients and leading coefficient 1 has -3 and 4i among its roots. Express f(x)as a porduct of linear and quadratic polynomials with real coefficients. \n" ); document.write( "

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The degree three polynomial f(x) with real coefficients and leading coefficient 1 has -3 and 4i among its roots. Express f(x)as a porduct of linear and quadratic polynomials with real coefficients.
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\n" ); document.write( "If f(x) has real coefficients and 4i is a root, then -4i is also a root.
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\n" ); document.write( "f(x) = (x+3)(x-4i)(x+4i)
\n" ); document.write( "f(x) = (x+3)(x^2+16)
\n" ); document.write( "f(x) = x^3+3x^2+16x+48
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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