document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46992>Question 46992</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0874477557/algebrahomeworkh>CLEP Official Study Guide</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1. What is the determinant of the matrix [-1 2][1 3]. The [1 3] is directly under the [-1 2] in the problem. I have no idea where to begin to solve this problem.\r<BR>\n" );
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document.write( "2. The below table gives some of the values of a 5th degree polynominal p(x). Based on the values shown, what it the minimum number of real roots fot the equation p(x)=0<BR>\n" );
document.write( "x	0	1	2	3	4	5	6	7<BR>\n" );
document.write( "p(x)	-30	22	110	150	34	-130	222	2,350\r<BR>\n" );
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document.write( "I have no idea how to begin to solve this problem.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31154 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. What is the determinant of the matrix [-1 2][1 3]. The [1 3] is directly under the [-1 2] in the problem. I have no idea where to begin to solve this problem.<BR>\n" );
document.write( "|-1,2|=(-1)(3)-(2)(1)=-3-2=-5<BR>\n" );
document.write( "| 1,3|<BR>\n" );
document.write( "IN GENERAL <BR>\n" );
document.write( "|A,B|<BR>\n" );
document.write( "|C,D|=A*D-B*C\r<BR>\n" );
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document.write( "2. The below table gives some of the values of a 5th degree polynominal p(x). Based on the values shown, what it the minimum number of real roots fot the equation p(x)=0<BR>\n" );
document.write( "x 0 1 2 3 4 5 6 7<BR>\n" );
document.write( "p(x) -30 22 110 150 34 -130 222 2,350<BR>\n" );
document.write( "I have no idea how to begin to solve this problem. <BR>\n" );
document.write( "REAL ROOTS ARE THOSE VALUES OF X AT WHICH P(X) BECOMES ZERO.<BR>\n" );
document.write( "WE FIND THAT AT <BR>\n" );
document.write( "X=0.....P(X)=-30..AND<BR>\n" );
document.write( "AT X=1...P(X)=+22.....SO P(X) WOULD BE ZERO BETWEN X=0 AND X=1..THIS IS ONE REAL ROOT<BR>\n" );
document.write( "SIMILARLY...AT<BR>\n" );
document.write( "X=4.....P(X)=34<BR>\n" );
document.write( "AT X=5....P(X)=-130.....SO P(X) WOULD BE ZERO BETWEEN X=4 AND X=5...THI9S IS ANOTHER REAL ROOT<BR>\n" );
document.write( "SIMILARLY...AT X=5.....P(X)=-130<BR>\n" );
document.write( "AT X=6............P(X)=222..HENCE P(X)WOULD BE ZERO BETWEEN X=5 AND X=6...THIS IS ANOTHER REAL ROOT.<BR>\n" );
document.write( "HENCE THERE ARE 3 REAL ROOTS IN ALL </SPAN>\n" );
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