document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=731797>Question 731797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition.\r<BR>\n" );
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document.write( "-1, -3, 0;    f(-2) = -8\r<BR>\n" );
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document.write( "I have tried this:\r<BR>\n" );
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document.write( "(x+1)(x+3)(x+0)<BR>\n" );
document.write( "=(x+0)(x^2+4x+3)<BR>\n" );
document.write( "=x^3+4x^2+3x\r<BR>\n" );
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document.write( "then <BR>\n" );
document.write( "f(-8)=a(-2+1)(-2+3)(-2+0)<BR>\n" );
document.write( "=f(-8)=a(-1)(1)(-2)<BR>\n" );
document.write( "-8=a-2<BR>\n" );
document.write( "a=4\r<BR>\n" );
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document.write( "so then I combine the two, and I get:\r<BR>\n" );
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document.write( "4(x^3+4x^2+3x)<BR>\n" );
document.write( "=4x^3+16x^2+12x<BR>\n" );
document.write( "and I divide by 4x, I get:\r<BR>\n" );
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document.write( "4x(x^2+4x+3) and I simplify that to:\r<BR>\n" );
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document.write( "4x(x+1)(x+3)\r<BR>\n" );
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document.write( "but the answer is wrong. Any idea what I did wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447298 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=447298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition. <BR>\n" );
document.write( "-1, -3, 0; f(-2) = -8 <BR>\n" );
document.write( "I have tried this: <BR>\n" );
document.write( "(x+1)(x+3)(x+0)<BR>\n" );
document.write( "=(x+0)(x^2+4x+3)<BR>\n" );
document.write( "=x^3+4x^2+3x <BR>\n" );
document.write( "then <BR>\n" );
document.write( "f(-8)=a(-2+1)(-2+3)(-2+0)  ************ f(-2), not f(-8)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "f(-2) = -8 + 16 - 6 = 2<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "--> (-3)*(x^3+4x^2+3x)<BR>\n" );
document.write( "f(x) = -3x^3 - 12x^2 - 9x<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );