document.write( "Question 1195206: If x+2 and x-3 are factors of the polynomial $\"p%28x%29=x%5E3%2B5x%5E2%2Bax%2Bb\"$ , find a. \n" ); document.write( "

Algebra.Com's Answer #827635 by Solver92311(821) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "If

is a factor of the polynomial, then

is a zero of the polynomial. Likewise,

is a zero of the polynomial.\r
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\n" ); document.write( "\n" ); document.write( "Using Synthetic Division:
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document.write( " 3  1  5    a        b\r\n" );
document.write( "       3   24        a + 24\r\n" );
document.write( "   -----------------------------\r\n" );
document.write( "    1  8    a + 24  3a + 72 + b\r\n" );
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\r
\n" ); document.write( "\n" ); document.write( "So

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\n" ); document.write( "\n" ); document.write( "Also:
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document.write( "-2  1  8   a + 24\r\n" );
document.write( "      -2     - 12\r\n" );
document.write( "   ------------------\r\n" );
document.write( "    1  6   a + 12\r\n" );
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\r
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\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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\r
\n" ); document.write( "\n" ); document.write( "From
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