document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209342>Question 1209342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the coefficient of x^2 in (x^3 + x^2 + x + 1)(5x^7 - 3x^4 + 10x^2 - 15)? </SPAN>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3+%2B+x%5E2+%2B+x+%2B+1%29%285x%5E7+-+3x%5E4+%2B+10x%5E2+-+15%29 ALIGN=MIDDLE  ALT=\"%28x%5E3+%2B+x%5E2+%2B+x+%2B+1%29%285x%5E7+-+3x%5E4+%2B+10x%5E2+-+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The partial products that contribute to the x^2 term in the product come from multiplying....<br><BR>\n" );
document.write( "(1) the x^2 term in the first polynomial and the constant term in the second: (x^2)(-15) = -15x^2<BR>\n" );
document.write( "(2) the x term in the first polynomial and the x term in the second: (x)(0x) = 0x^2<BR>\n" );
document.write( "(1) the constant term in the first polynomial and the x^2 term in the second: (1)(10x^2) = 10x^2<br><BR>\n" );
document.write( "(-15x^2) + (0x^2) + (10x^2) = -5x^2<br><BR>\n" );
document.write( "ANSWER: the coefficient of x^2 in the product is -5<br>\r<BR>\n" );
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