document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191255>Question 1191255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The roots of (x^3) + 2p(x^2) - px + 10 = 0 are integral and form an arithmetic sequence. What is the value of p? </SPAN>\n" );
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document.write( "The three roots are integers in arithmetic progression, and their product is -10.  Quick trial and error shows the roots are -1, 2, and 5.  The polynomial is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x-2%29%28x-5%29=x%5E3-6x%5E2%2B3x-10 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x-2%29%28x-5%29=x%5E3-6x%5E2%2B3x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Equate the coefficients of that polynomial and the polynomial in its given form to see that p = -3.<br><BR>\n" );
document.write( "ANSWER: p = -3<br><BR>\n" );
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