document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137581>Question 1137581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at x=−5.The y-intercept is y=−8 Find a formula for P(x).\r<BR>\n" );
document.write( "\n" );
document.write( "If a polynomial f(x)has a remainder of −6 when divided by x−3, what is f(3)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755597 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The polynomial of degree 3, P(x) has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at x=−5.The y-intercept is y=−8 Find a formula for P(x).<br><BR>\n" );
document.write( "The polynomial in factored form is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+a%28x-2%29%5E2%28x%2B5%29 ALIGN=MIDDLE  ALT=\"P%28x%29+=+a%28x-2%29%5E2%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To find the coefficient a, use the fact that the y-intercept is -8 -- i.e., that f(0) = -8:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8+=+a%28-2%29%5E2%285%29 ALIGN=MIDDLE  ALT=\"-8+=+a%28-2%29%5E2%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8+=+20a ALIGN=MIDDLE  ALT=\"-8+=+20a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-2%2F5 ALIGN=MIDDLE  ALT=\"a+=+-2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The equation in factored form is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+%28-2%2F5%29%28x-2%29%5E2%28x%2B5%29 ALIGN=MIDDLE  ALT=\"P%28x%29+=+%28-2%2F5%29%28x-2%29%5E2%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-8%2C6%2C-24%2C12%2C%28-2%2F5%29%28x-2%29%5E2%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-8%2C6%2C-24%2C12%2C%28-2%2F5%29%28x-2%29%5E2%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );