document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69411>Question 69411</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh>Algebra & Trigonometry with Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Missed the following on Chapter quiz; please help studying for exam:\r<BR>\n" );
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document.write( "Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.\r<BR>\n" );
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document.write( "The polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. Find f(3).\r<BR>\n" );
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document.write( "Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.\r<BR>\n" );
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document.write( "Thanks... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49456 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=49456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.<BR>\n" );
document.write( "f(x)= (x+1)(x-1)(x-3)<BR>\n" );
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document.write( "The polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. Find f(3). <BR>\n" );
document.write( "f(3) equals the remainder which is 2.<BR>\n" );
document.write( "f(3) = 2<BR>\n" );
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document.write( "Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1. <BR>\n" );
document.write( "You are told that x=1 is a root or zero of f(x).<BR>\n" );
document.write( "Divide f(x) by x-1 to find the other factor:<BR>\n" );
document.write( "1)....1....-8....17....-9<BR>\n" );
document.write( ".......1.....-7....10..|..1<BR>\n" );
document.write( "COMMENT: That last number should be zero.  I think you copied some part<BR>\n" );
document.write( "of your problem incorrectly.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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