document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206674>Question 1206674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> list ALL roots (rational, irrational, and/or complex) of the given polynomial equation by using the methods discussed in this lesson. SHOW YOUR WORK. \r<BR>\n" );
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document.write( " x^3 - 5x^2 + 7x - 35 = 0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-5x%5E2%2B7x-35 ALIGN=MIDDLE  ALT=\"x%5E3-5x%5E2%2B7x-35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Looking at the coefficients<br><BR>\n" );
document.write( "1 -5 7 -35<br><BR>\n" );
document.write( "we see the second pair is 7 times the first pair, which means the polynomial will factor by grouping.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-5x%5E2%2B7x-35=%28x%5E3-5x%5E2%29%2B%287x-35%29=x%5E2%28x-5%29%2B7%28x-5%29=%28x%5E2%2B7%29%28x-5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The roots are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"i%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-i%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"-i%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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