###DESCRIPTION ## Factoring Special polynomials ## ##ENDDESCRIPTION ## DBsubject('Intermediate Algebra') ## DBchapter('Ch 05: Polynomials, Polynomial Functions, and Factoring') ## DBsection('Factoring Special Forms') ## KEYWORDS('factoring') ## TitleText1('Essentials of Intermediate Algebra') ## EditionText1('1') ## AuthorText1('Blitzer') ## Section1('5.5') ## Problem1('') ## Author('RA Cruz') ## Institution('The College of Idaho') ## Date: 2007/11 DOCUMENT(); # This should be the first executable line in the problem. loadMacros( "PGstandard.pl", "MathObjects.pl", "CofIdaho_macros.pl" ); TEXT(beginproblem); ###################################### # Setup \$a= random(3,6,1); \$polynomial = Formula("x^4 - (2*\$a)x^2 + \$a^2")->reduce->TeX; ###################################### # Main text BEGIN_TEXT Factor completely: \$PAR \( \$polynomial = \) \{ ans_rule(30) \} END_TEXT ###################################### # Answer \$answer="(x^2 - \$a)^2"; ANS(FactoringEvaluator(\$answer,"x")); \$showPartialCorrectAnswers = 1; ###################################### ENDDOCUMENT(); # This should be the last executable line in the problem.