document.write( "Question 1131744: Find the roots of the equation x³ - 9x² + 23x - 15 = 0, if they are in AP. \n" ); document.write( "

Algebra.Com's Answer #748430 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "3 roots. 3 sign changes for

: Maximum 3 positive real roots.\r
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\n" ); document.write( "\n" ); document.write( "Zero sign changes for

: Maximum zero negative real roots.\r
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\n" ); document.write( "\n" ); document.write( "The lead coefficient is 1, the constant term is -15. Possible rational roots

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\n" ); document.write( "\n" ); document.write( "but the negative values are excluded by the Rule of Signs, so the possible rational roots are

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document.write( "5  |  1   -9   23  -15								\r\n" );
document.write( "           5  -20   15   \r\n" );
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document.write( "      1   -4    3    0\r\n" );
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\n" ); document.write( "\n" ); document.write( "Zeros are 1, 3, and 5\r
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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