document.write( "Question 430003: Given the zero: x=2, of the polynomial: x^3-4x^2+21x-34=0, find the others.
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Algebra.Com's Answer #298618 by htmentor(1343) $\"\"$ $\"About$

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We are given x = 2 is one of the zeros, so we know that x - 2 is one of the factors of the polynomial
\n" ); document.write( "We can divide the polynomial by x - 2 to get a quadratic:
\n" ); document.write( "x^3-4x^2+21x-34/x-2
\n" ); document.write( "Performing the division gives $\"x%5E2+-+2x+%2B+17\"$
\n" ); document.write( "Now use the quadratic formula to get the other two zeros:
\n" ); document.write( " $\"x+=+%282+%2B-+sqrt%284+-+68%29%29%2F2\"$
\n" ); document.write( "The other two roots are complex, and are equal to:
\n" ); document.write( "x = 1 + 4i, and x = 1 - 4i \n" ); document.write( "

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