document.write( "Question 391373: Write a polynomial function of least degree with real coefficients, the given zeroes are 2+i, 6i \n" ); document.write( "

Algebra.Com's Answer #277705 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Complex zeros of polynomial functions with real coefficients come in conjugate pairs. That means that if

is a zero of a given polynomial function, then

must also be a zero of that same polynomial function.\r
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\n" ); document.write( "\n" ); document.write( "The conjugate of

and the conjugate of

. Now we know that we have at least 4 zeroes, so the minimum degree polynomial function is 4th degree.\r
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\n" ); document.write( "\n" ); document.write( "If

is a zero of the polynomial function

, then

is a factor of

.\r
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\n" ); document.write( "\n" ); document.write( "Therefore:\r
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\r
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\n" ); document.write( "\n" ); document.write( "All you need to do is multiply the factors to obtain a general form representation of your polynomial.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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