document.write( "Question 623808: for the following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given condition.\r
\n" ); document.write( "\n" ); document.write( "two of the zeros are 4 and 1+i\r
\n" ); document.write( "\n" ); document.write( "the leading coefficient is -5
\n" ); document.write( " p(x)=???
\n" ); document.write( "

Algebra.Com's Answer #392392 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "P(x) = -5(x-4)(x -(1+i))(x-(1-i)) = -5(x-4)(x^2 -2x + 2)= -5(x^3 - 6x^2 + 10x -8)
\n" ); document.write( "(x -(1+i))(x-(1-i)) = x^2 -2x + 2
\n" ); document.write( "F First terms x^2
\n" ); document.write( "O Outside terms -x - i
\n" ); document.write( "I Inside terms -x + i
\n" ); document.write( "L Last terms (1+i))((1-i) = 2 \n" ); document.write( "
\n" );