document.write( "Question 973676: If b and c are real numbers so that the polynomial x^2+bx+c has 3+i as a zero, what is the value of b+c? \n" ); document.write( "

Algebra.Com's Answer #595817 by josgarithmetic(39617) $\"\"$ $\"About$

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Complex zeros of quadratic equations are in conjugate pairs.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-%283%2Bi%29%29%28x-%283-i%29%29=x%5E2%2Bbx%2Bc\"$
\n" ); document.write( " $\"%28x-3-i%29%28x-3%2Bi%29\"$
\n" ); document.write( " $\"%28%28x-3%29-i%29%28%28x-3%29%2Bi%29\"$
\n" ); document.write( " $\"%28x-3%29%5E2-i%5E2\"$
\n" ); document.write( " $\"x%5E2-6x%2B9-%28-1%29\"$
\n" ); document.write( " $\"x%5E2-6x%2B9%2B1\"$
\n" ); document.write( " $\"x%5E2-6x%2B10=x%5E2%2Bbx%2Bc\"$ \r
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\n" ); document.write( "\n" ); document.write( "Corresponding positions show b=-6 and c=10.\r
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\n" ); document.write( "\n" ); document.write( " $\"b%2Bc\"$
\n" ); document.write( " $\"-6%2B10\"$
\n" ); document.write( " $\"highlight%28highlight%284%29%29\"$
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