ExpandedPolynomial1
Polynomial Multiplication (Expanding)
This PG code shows how to require students to expand polynomial multiplication.
- File location in OPL: FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1.pg
PG problem file | Explanation |
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Problem tagging: |
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DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "contextLimitedPolynomial.pl", ); TEXT(beginproblem()); |
Initialization:
We must load |
# # Vertex form # Context("Numeric"); $h = 3; $k = 5; $vertexform = Compute("(x-$h)^2-$k"); # # Expanded form # Context("LimitedPolynomial-Strict"); $b = -2 * $h; $c = $h**2 - $k; $expandedform = Formula("x^2 + $b x + $c")->reduce(); |
Setup:
The macro Context("LimitedPolynomial"); Context("LimitedPolynomial-Strict"); The strict version does not allow any mathematical operations within coefficients, so
We use the |
Context()->texStrings; BEGIN_TEXT The quadratic expression \( $vertexform \) is written in vertex form. Write the expression in expanded form \( ax^2 + bx + c \). $BR $BR \{ ans_rule(30) \} END_TEXT Context()->normalStrings; |
Main Text:
To help students understand how to format their answers, we give an example |
$showPartialCorrectAnswers = 1; ANS( $expandedform->cmp() ); |
Answer Evaluation: |
Context()->texStrings; BEGIN_SOLUTION ${PAR}SOLUTION:${PAR} Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version.'); ENDDOCUMENT(); |
Solution: |