document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189952>Question 189952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5x^3-9x^2-17x-3 \r<BR>\n" );
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document.write( "i have to solve this as follows:\r<BR>\n" );
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document.write( "(a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial.\r<BR>\n" );
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document.write( "For A, I know that i have to do it with the rational zero theorem, but here is a sentence of a book that i don't understand.\r<BR>\n" );
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document.write( "if a rational number p/q is a zero of f(x), then p must be a factor of  -4 and q must be a factor of 3. the task belonging to it is: 3x^4-11x^3+10x-4\r<BR>\n" );
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document.write( "Then it says possibility for p = +-1, +-2, +-4<BR>\n" );
document.write( "possibility for q is =-1, +-3\r<BR>\n" );
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document.write( "i dont understand how to get +-4 and for q +-3. as the sentence above states. I dont get how to find the possibilities...\r<BR>\n" );
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document.write( "(b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found the zeros.\r<BR>\n" );
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document.write( "For B, This is what I thought!\r<BR>\n" );
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document.write( "f(x) = 5x3 – 9x2 – 17x – 3.\r<BR>\n" );
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document.write( "x(5x^2-9x-17)-3\r<BR>\n" );
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document.write( "but then with x(5x^2-9x-20) how would you find something that would result in 20 and 9\r<BR>\n" );
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document.write( "X9X- )(X+ )\r<BR>\n" );
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document.write( "I am stuck here or is it the wrong approach?\r<BR>\n" );
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document.write( "Anna\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142555 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=142555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x^3-9x^2-17x-3 <BR>\n" );
document.write( "i have to solve this as follows: <BR>\n" );
document.write( "(a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. <BR>\n" );
document.write( "For A, I know that i have to do it with the rational zero theorem, but here is a sentence of a book that i don't understand. <BR>\n" );
document.write( "if a rational number p/q is a zero of f(x), then p must be a factor of -4 and q must be a factor of 3. the task belonging to it is: 3x^4-11x^3+10x-4 <BR>\n" );
document.write( "Then it says possibility for p = +-1, +-2, +-4<BR>\n" );
document.write( "possibility for q is =-1, +-3 <BR>\n" );
document.write( "i dont understand how to get +-4 and for q +-3. as the sentence above states. I dont get how to find the possibilities... <BR>\n" );
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document.write( "In your problem p must divide -3 and q must divide 5.<BR>\n" );
document.write( "p can be +/-1, +/-3<BR>\n" );
document.write( "q can be +/-1, +/-5<BR>\n" );
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document.write( "Then the rational roots may be 1/1, -1/1, 1/5, 1/-5, =3/1, 3/-1, 3/5, 3/-5<BR>\n" );
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document.write( "(b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found the zeros. <BR>\n" );
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document.write( "The possible rational zeros are listed in part a.  You have to see<BR>\n" );
document.write( "which ones really are zeros.<BR>\n" );
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document.write( "f(x) = 5x^3-9x^2-17x-3 <BR>\n" );
document.write( "f(1) = 5-9-17-3 is not zero<BR>\n" );
document.write( "f(-1) = -5-9+17-3 = 0 so x=-1 is a root<BR>\n" );
document.write( "f(3) = 5*27-9*9-17*3-3 = 0 so x= 3 is a root<BR>\n" );
document.write( "f(1/5)= 5(1/5)^3 - 9(1/5)^2 - 17(1/5) - 3 is not zero<BR>\n" );
document.write( "f(-1/5) = 5(-1/5)^3 - 9(-1/5)^2 - 17(-1/5) -3 = 0 so x= -1/5 is a root<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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