document.write( "Question 987562: Give the x-intercepts, the table of signs and the sketch of the graph.\r
\n" ); document.write( "\n" ); document.write( "f(x) = x^3 + 2x^2 - 9x - 18 \n" ); document.write( "

Algebra.Com's Answer #608402 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "The roots of the polynomial f(x) = $\"x%5E3+%2B+2x%5E2+-+9x+-+18\"$ are -3, -2 and 3. You can check it directly.\r
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\n" ); document.write( "\n" ); document.write( "So, the polynomial is factored as $\"x%5E3+%2B+2x%5E2+-+9x+-+18\"$ = (x+3)*(x+2)*(x-3). The sketch is shown in the Figure.\r
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\n" ); document.write( "\n" ); document.write( "Could you make the table of signs yourself?\r
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