document.write( "Question 86379: I need help with this: find a polynomial with integer coefficients that has the given zeros -4, -1+i, -1-i \n" ); document.write( "

Algebra.Com's Answer #62488 by venugopalramana(3286) $\"\"$ $\"About$

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I need help with this: find a polynomial with integer coefficients that has the given zeros -4, -1+i, -1-i
\n" ); document.write( "CONJUGATE ROOTS ARE -1+I AND -1-I
\n" ); document.write( "SO EQN. FOR THESE 2 ROOTS IS
\n" ); document.write( "[X-(-1+I)][X-(-1-I)]=0=(X+1)^2-I^2=X^2+2X+1+1=0=X^2+2X+2=0
\n" ); document.write( "NOW THIRD ROOT IS REAL -4
\n" ); document.write( "SO MULTIPLY THE ABOVE WITH X+4 TO GET THE POLYNOMIAL
\n" ); document.write( "(X+4)(X^2+2X+2)=0
\n" ); document.write( "X^3+2X^2+2X+4X^2+8X+8=0
\n" ); document.write( "X^3+6X^2+10X+8=0
\n" ); document.write( " \n" ); document.write( "

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