document.write( "Question 1073125: Write the polynomial equation of degree 3 with roots 3-2i and -1, given that the polynomial passes through the point (1, 32). \n" ); document.write( "

Algebra.Com's Answer #688014 by Alan3354(69443) $\"\"$ $\"About$

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Write the polynomial equation of degree 3 with roots 3-2i and -1, given that the polynomial passes through the point (1,32).
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\n" ); document.write( "3+2i is also a root.
\n" ); document.write( "--> f(x) = (x+1)*(x-3-2i)*(x-3+2i) = (x+1)*(x^2 -6x + 13) = x^3 - 5x^2 + 7x + 13
\n" ); document.write( "f(1) = 16 --> Multiply by 2
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\n" ); document.write( "P(x) = 2x^3 - 10x^2 + 14x + 26\r
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