document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152354>Question 152354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Can someone please review the following, I did the work I just want to make sure it correct before I submit it.\r<BR>\n" );
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document.write( "Thank you for your help.\r<BR>\n" );
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document.write( "From the given polynomials, identify the polynomials of degree one.\r<BR>\n" );
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document.write( "a.	311y - 5 - 43y   Since degree is based on the power of the largest variable (or is degree 0 if everything is constants). You have an expression that contains y to a power of 1. So the degree is 1  \r<BR>\n" );
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document.write( "b.	(11y2)1/2 + 14 ( This is a degree 2)\r<BR>\n" );
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document.write( "c.	10 + (19)1/2x  (This is not a polynomial)\r<BR>\n" );
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document.write( "d.	2 + 15x ( This is a degree 1 polynomial)\r<BR>\n" );
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document.write( "e.	52y4 + 7x + 2  ( This is not a polynomial)\r<BR>\n" );
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document.write( "f.	(68)1y1  (This is a degree 1 polynomial)\r<BR>\n" );
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document.write( "g.	x3 + 3x – 9 ( This is a degree 3 )\r<BR>\n" );
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document.write( "h.	(2x)1/2 + 4x – 8 (This is a degree 1)\r<BR>\n" );
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document.write( "Solve the following:\r<BR>\n" );
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document.write( "1. -2x = 3x + 4  <BR>\n" );
document.write( "   -2x = 3x + 4 <BR>\n" );
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document.write( "   5x=4   --------> -5*x/5    =     4/(-5)<BR>\n" );
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document.write( "   = -4<BR>\n" );
document.write( "      5<BR>\n" );
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document.write( "2. 3x/4 = 6 \r<BR>\n" );
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document.write( "    3x=6*4 , cross multiply:<BR>\n" );
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document.write( "    3x=24   -------->  3*x= 24*8/3 eliminate 3 and 24\r<BR>\n" );
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document.write( "    x=8<BR>\n" );
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document.write( "3. y/6 + 1 = 9 <BR>\n" );
document.write( "   y/6 + 1 = 9 <BR>\n" );
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document.write( "   y+6/6=9, cross multiply,<BR>\n" );
document.write( "   <BR>\n" );
document.write( "   y+6=54<BR>\n" );
document.write( "   y=54-6<BR>\n" );
document.write( "   y= 48\r<BR>\n" );
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document.write( " 6 = -2x/4 , cross multiply,\r<BR>\n" );
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document.write( " 24= -2x ------->  24 * 12/-2 = -2*x/-2 eliminate like terms 24,-2,-2,-2\r<BR>\n" );
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document.write( " x= -12<BR>\n" );
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document.write( "4.	6 = -2x/4 \r<BR>\n" );
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document.write( "  6 = -2x/4 <BR>\n" );
document.write( " -2x=6*4<BR>\n" );
document.write( " -2x=24<BR>\n" );
document.write( " x=24/-2<BR>\n" );
document.write( "Answer:  x=-12 \r<BR>\n" );
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document.write( "To proof it I did the following:<BR>\n" );
document.write( "6=-2*-12/4<BR>\n" );
document.write( "6=24/4<BR>\n" );
document.write( "6=6\r<BR>\n" );
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document.write( "5. Find f(1) for f(x) = 4x3 - 3x2 - x + 2 <BR>\n" );
document.write( "The problem gives you a \"function of x\":<BR>\n" );
document.write( "f(x) = 4x3 - 3x2 - x + 2 <BR>\n" );
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document.write( "Now, to find f(1), it simply asks you to find the value of f(x) when x=1<BR>\n" );
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document.write( "So I , simply substitute in 1 wherever I see the x and solve:<BR>\n" );
document.write( "f(x) = 4x^3 - 3x^2 - x + 2 <BR>\n" );
document.write( "Substituting I get:<BR>\n" );
document.write( "f(1) = 4(1)^3 - 3(1)^2 - 1 + 2 <BR>\n" );
document.write( "f(1) = 4(1) - 3(1) - 1 + 2 <BR>\n" );
document.write( "f(1) = 4 - 3 - 1 + 2 <BR>\n" );
document.write( "f(1) = 6 - 4<BR>\n" );
document.write( "f(1) = 2 (so f(1)=2)<BR>\n" );
document.write( "Answer: f(1)=2\r<BR>\n" );
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document.write( "6. A function gives the value of C as 2 × (22/7) × r. Find C when r = 21 cm and r = 84 cm.<BR>\n" );
document.write( "plug in 21 for r:<BR>\n" );
document.write( "C = 2 × (22/7) × 21 <BR>\n" );
document.write( "Answer: C = 132 cm\r<BR>\n" );
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document.write( "And plug in 84:<BR>\n" );
document.write( "C = 2 × (22/7) × 84<BR>\n" );
document.write( "Answer: C = 528 cm<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111998 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=111998\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All of your answers look good except for the first problem, part e.<BR>\n" );
document.write( "Given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52y%5E4%2B7x%2B2 ALIGN=MIDDLE  ALT=\"52y%5E4%2B7x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...You said \"This is not a polynomial\"  Why is it not?<BR>\n" );
document.write( "It certainly qualifies as a polynomial (a trinomial in this case) because there are no terms with  variables in the denominator and no terms with variables under a radical sign.<BR>\n" );
document.write( "This polynomial is of degree 4 because of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52y%5E4 ALIGN=MIDDLE  ALT=\"52y%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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