View of /trunk/NationalProblemLibrary/maCalcDB/setAlgebra04ExpressionsFactoring/sw1_4_45.pg

    1 ##DESCRIPTION
    2 ##  Algebra problem: factor a quadratic equation
    3 ##ENDDESCRIPTION
    4 
    5 ##KEYWORDS('algebra', 'factoring')
    6 ## hcao tagged and PAID on 2-20-2004
    7 
    8 ## DBsubject('Algebra')
    9 ## DBchapter('Basic Algebra')
   10 ## DBsection('Algebraic Expressions')
   11 ## Date('6/3/2002')
   12 ## Author('')
   13 ## Institution('')
   14 ## TitleText1('College Algebra')
   15 ## EditionText1('3')
   16 ## AuthorText1('Stewart, Redlin, Watson')
   17 ## Section1('1.4')
   18 ## Problem1('45')
   19 DOCUMENT();        # This should be the first executable line in the problem.
   20 
   21 loadMacros(
   22 "PG.pl",
   23 "PGbasicmacros.pl",
   24 "PGchoicemacros.pl",
   25 "PGanswermacros.pl",
   26 "PGauxiliaryFunctions.pl"
   27 );
   28 
   29 TEXT(&beginproblem);
   30 $showPartialCorrectAnswers = 1;
   31 
   32 $a = random(1,4,1);
   33 $b = random(6,9,1);
   34 $t = -($a-$b);
   35 $n = $a*$b;
   36 
   37 TEXT(EV2(<<EOT));
   38 Factor the polynomial \(x^2-$t x-$n\). Your answer can be written as
   39 \((x+A)(x+B)\) where \(A \lt B\) $BR and \(A\) equals:
   40 \{ans_rule(10) \}
   41 $BR
   42 EOT
   43 
   44 $ans = -$b;
   45 &ANS(std_num_cmp($ans));
   46 
   47 TEXT(EV2(<<EOT));
   48 and \(B\) equals:
   49 \{ans_rule(10) \}
   50 $BR
   51 EOT
   52 
   53 $ans =  $a;
   54 &ANS(std_num_cmp($ans));
   55 
   56 ENDDOCUMENT();        # This should be the last executable line in the problem.