document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290512>Question 290512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I need help with this 3 part problem. I have no clue what to do. Thank you so much for all your help.\r<BR>\n" );
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document.write( "here is the problem<BR>\n" );
document.write( "A)  Together Steve and Heather’s ages add up to be ten. If we let \"x\" be Steve’s age, setup the polynomial describing Heather’s age (as a function, or dependent, of Steve's.  The answer should fill in the blank “Heather’s age is _____”, without any equal sign within it. How many terms does your expression have? What type of polynomial is it?\r<BR>\n" );
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document.write( "B) The product (multiplication) of Steve and Heather’s ages (yes, the same Steve and Heather as in problem #1) is 21. Combining with the information in part A, setup the new expression. Do not simplify it.\r<BR>\n" );
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document.write( "C) Expand and simplify (by combining like terms) the above factoring expression. Which property do you use to expand it? Put the resulting expression in the format such that the right-hand side of the equal sign is zero. How many terms does the left-hand side have? What type of polynomial is it?\r<BR>\n" );
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document.write( "thank you again </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210227 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=210227\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First of all, it is not a good idea to use x for steve's age<BR>\n" );
document.write( "It is better to use s for Steve and h for Heather. It is easy to confuse x and y but not so easy to confuse s and h.\r<BR>\n" );
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document.write( "x+h=10 <BR>\n" );
document.write( "for  Together Steve and Heather’s ages add up to be ten.<BR>\n" );
document.write( "h=10-x <BR>\n" );
document.write( "If we let \"x\" be Steve’s age, setup the polynomial describing Heather’s age (as a function, or dependent, of Steve's.\r<BR>\n" );
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document.write( "The problem is poorly written.<BR>\n" );
document.write( "At one moment it is talking about polynomials, expressions and functions and talking as if they are one thing.<BR>\n" );
document.write( "The function that we wrote for heather's age is not the same as the expression that we wrote for steve and heather's age.<BR>\n" );
document.write( "Expressions have no equal sign functions and equations do.<BR>\n" );
document.write( "The expression for heather's age is 10-x<BR>\n" );
document.write( "There are two terms in the expressions- a variable and a constant.<BR>\n" );
document.write( "The function that we set up has three terms h,x and 10 the constant.<BR>\n" );
document.write( "h=10-x<BR>\n" );
document.write( "The polynomial 10-x is a one variable polynomial with one variable and one constant. It of the first degree.<BR>\n" );
document.write( "but the function h=10-x has three terms two variables and one constant.<BR>\n" );
document.write( "It is also of the first degree.<BR>\n" );
document.write( "It is a first degree two variable function.\r<BR>\n" );
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document.write( "h*x=21<BR>\n" );
document.write( "h+x=10<BR>\n" );
document.write( "one is 7 and and the other is 3<BR>\n" );
document.write( "if we want to solve for heather's age<BR>\n" );
document.write( "we plug in 10-h for x<BR>\n" );
document.write( "h*(10-h)=21<BR>\n" );
document.write( "10h-h^2=21<BR>\n" );
document.write( "It is now quadratic of degree 2 <BR>\n" );
document.write( "-h^2+10h-21=0<BR>\n" );
document.write( "multiply by -1<BR>\n" );
document.write( "or <BR>\n" );
document.write( "add inverses to both sides<BR>\n" );
document.write( "h^2-10h+21=0<BR>\n" );
document.write( "(h-7)*(h-3)=0<BR>\n" );
document.write( "h=7 and 3\r<BR>\n" );
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document.write( "I don't like the problem because it is confusing terms.\r<BR>\n" );
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document.write( "Any questions? </SPAN>\n" );
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