View of /trunk/NationalProblemLibrary/CollegeOfIdaho/setAlgebra_05_05_FactoringSpecialForms/55IntAlg_21_FactorSpecial.pg

    1 ###DESCRIPTION
    2 ## Factoring Special polynomials
    3 ##
    4 ##ENDDESCRIPTION
    5 ## DBsubject('Intermediate Algebra')
    6 ## DBchapter('Ch 05: Polynomials, Polynomial Functions, and Factoring')
    7 ## DBsection('Factoring Special Forms')
    8 ## KEYWORDS('factoring')
    9 ## TitleText1('Essentials of Intermediate Algebra')
   10 ## EditionText1('1')
   11 ## AuthorText1('Blitzer')
   12 ## Section1('5.5')
   13 ## Problem1('')
   14 ## Author('RA Cruz')
   15 ## Institution('The College of Idaho')
   16 ## Date: 2007/11
   17 
   18 DOCUMENT(); # This should be the first executable line in the problem.
   19 
   20 loadMacros(
   21   "PGstandard.pl",
   22   "MathObjects.pl",
   23   "CofIdaho_macros.pl"
   24 );
   25 
   26 TEXT(beginproblem());
   27 
   28 ######################################
   29 #  Setup
   30 
   31 $a= list_random(3,5,6,7);
   32 
   33 $polynomial = Formula("x^4 - (2*$a)x^2 + $a^2")->reduce->TeX;
   34 
   35 ######################################
   36 #  Main text
   37 
   38 BEGIN_TEXT
   39 Factor completely:
   40 $PAR
   41 \( $polynomial = \)  \{ ans_rule(30) \}
   42 END_TEXT
   43 
   44 ######################################
   45 #  Answer
   46 
   47 $answer="(x^2 - $a)^2";
   48 ANS(FactoringEvaluator($answer,"x"));
   49 
   50 $showPartialCorrectAnswers = 1;
   51 
   52 ######################################
   53 
   54 
   55 COMMENT('MathObject version');
   56 ENDDOCUMENT();
   57