document.write( "Question 1165191: given the polynomial p(x) = x^4-2x^3-7x^2+18-18\r
\n" ); document.write( "\n" ); document.write( "If one zero of P is 1-i, find the remaining zeros of P. \n" ); document.write( "

Algebra.Com's Answer #789670 by Seutip(231) $\"\"$ $\"About$

You can put this solution on YOUR website!
To find zeroes we should equate P(x) to 0
\n" ); document.write( " $\"0+=+x%5E4-2x%5E3-7x%5E2%2B18x-18\"$
\n" ); document.write( "Then factor out
\n" ); document.write( " $\"0+=+%28x-3%29%28x%5E3%2Bx%5E2-4x%2B6%29\"$ you can also factor out (x^3+x^2-4x+6) giving us
\n" ); document.write( " $\"0+=+%28x-3%29%28x%2B3%29%28x%5E2-2x%2B2%29\"$ I hope you know how to factor out easily,
\n" ); document.write( "but using foil method you will get $\"0+=+x%5E4-2x%5E3-7x%5E2%2B18x-18\"$
\n" ); document.write( "When you multiply the factors with each other, there is nothing left to
\n" ); document.write( "factor out so our final equation now is:\r
\n" ); document.write( "\n" ); document.write( " $\"0+=+%28x-3%29%28x%2B3%29%28x%5E2-2x%2B2%29\"$
\n" ); document.write( "It will give us 3 sub-equations
\n" ); document.write( " $\"x-3=0\"$
\n" ); document.write( " $\"x%2B3=0\"$
\n" ); document.write( "and $\"x%5E2%2B2x%2B2=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-3=0\"$
\n" ); document.write( "One root is x=3
\n" ); document.write( " $\"x%2B3=0\"$
\n" ); document.write( "The other root is x=-3
\n" ); document.write( "and $\"x%5E2%2B2x%2B2=0\"$ using quadratic formula gives you
\n" ); document.write( " $\"x=%28-1%2Bi%29\"$ $\"x=%28-1-i%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Hope that helps!!!!
\n" ); document.write( "Thank you and God bless! \n" ); document.write( "

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