Difference between revisions of "ExpandedPolynomial1"
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+ | {{historical}} |
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+ | <p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Algebra/ExpandedPolynomial.html a newer version of this problem]</p> |
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<h2>Polynomial Multiplication (Expanding)</h2> |
<h2>Polynomial Multiplication (Expanding)</h2> |
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This PG code shows how to require students to expand polynomial multiplication. |
This PG code shows how to require students to expand polynomial multiplication. |
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</p> |
</p> |
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− | * File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1.pg FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1.pg] |
+ | <!--* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1.pg FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1.pg] --> |
− | + | * PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1_PGML.pg FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1_PGML.pg] |
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<br clear="all" /> |
<br clear="all" /> |
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<tr valign="top"> |
<tr valign="top"> |
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− | <th> PG problem file </th> |
+ | <th style="width: 50%"> PG problem file </th> |
<th> Explanation </th> |
<th> Explanation </th> |
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</tr> |
</tr> |
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DOCUMENT(); |
DOCUMENT(); |
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− | loadMacros( |
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+ | loadMacros('PGstandard.pl','MathObjects.pl','contextLimitedPolynomial.pl', |
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− | "PGstandard.pl", |
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+ | 'AnswerFormatHelp.pl','PGML.pl','PGcourse.pl'); |
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− | "MathObjects.pl", |
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− | "contextLimitedPolynomial.pl", |
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− | ); |
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TEXT(beginproblem()); |
TEXT(beginproblem()); |
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</pre> |
</pre> |
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The strict version does not allow any mathematical operations within coefficients, so <code>(5+3)x</code> must be simplified to <code>8x</code>. |
The strict version does not allow any mathematical operations within coefficients, so <code>(5+3)x</code> must be simplified to <code>8x</code>. |
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− | For more details, see [http://webwork.maa.org/pod/ |
+ | For more details, see [http://webwork.maa.org/pod/pg/macros/contextLimitedPolynomial.html contextLimitedPolynomial.pl] |
</p> |
</p> |
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<p> |
<p> |
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<td style="background-color:#ffdddd;border:black 1px dashed;"> |
<td style="background-color:#ffdddd;border:black 1px dashed;"> |
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<pre> |
<pre> |
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− | Context()->texStrings; |
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+ | BEGIN_PGML |
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− | BEGIN_TEXT |
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+ | The quadratic expression [` [$vertexform] `] |
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− | The quadratic expression \( $vertexform \) |
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+ | is written in vertex form. Write the |
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− | is written in vertex form. Write the |
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+ | expression in expanded form [` ax^2 + bx + c `]. |
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− | expression in expanded form |
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+ | |||
− | \( ax^2 + bx + c \). |
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+ | [_____________________]{$expandedform} |
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− | $BR |
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+ | |||
− | $BR |
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+ | [@ helpLink('formulas') @]* |
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− | \{ ans_rule(30) \} |
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+ | END_PGML |
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− | END_TEXT |
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− | Context()->normalStrings; |
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</pre> |
</pre> |
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<td style="background-color:#ffcccc;padding:7px;"> |
<td style="background-color:#ffcccc;padding:7px;"> |
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</td> |
</td> |
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</tr> |
</tr> |
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− | |||
− | <!-- Answer section --> |
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− | |||
− | <tr valign="top"> |
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− | <td style="background-color:#eeddff;border:black 1px dashed;"> |
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− | <pre> |
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− | $showPartialCorrectAnswers = 1; |
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− | |||
− | ANS( $expandedform->cmp() ); |
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− | |||
− | </pre> |
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− | <td style="background-color:#eeccff;padding:7px;"> |
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− | <p> |
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− | <b>Answer Evaluation:</b> |
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− | </p> |
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− | </td> |
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− | </tr> |
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− | |||
<!-- Solution section --> |
<!-- Solution section --> |
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<td style="background-color:#ddddff;border:black 1px dashed;"> |
<td style="background-color:#ddddff;border:black 1px dashed;"> |
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<pre> |
<pre> |
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− | |||
+ | BEGIN_PGML_SOLUTION |
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− | Context()->texStrings; |
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− | BEGIN_SOLUTION |
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− | ${PAR}SOLUTION:${PAR} |
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Solution explanation goes here. |
Solution explanation goes here. |
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− | END_SOLUTION |
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+ | END_PGML_SOLUTION |
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− | Context()->normalStrings; |
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− | |||
− | COMMENT('MathObject version.'); |
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ENDDOCUMENT(); |
ENDDOCUMENT(); |
Latest revision as of 05:47, 18 July 2023
This problem has been replaced with a newer version of this problem
Polynomial Multiplication (Expanding)
This PG code shows how to require students to expand polynomial multiplication.
- PGML location in OPL: FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1_PGML.pg
PG problem file | Explanation |
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Problem tagging: |
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DOCUMENT(); loadMacros('PGstandard.pl','MathObjects.pl','contextLimitedPolynomial.pl', 'AnswerFormatHelp.pl','PGML.pl','PGcourse.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 + $c")->reduce(); |
Setup:
The macro Context("LimitedPolynomial"); Context("LimitedPolynomial-Strict"); The strict version does not allow any mathematical operations within coefficients, so
We use the |
BEGIN_PGML The quadratic expression [` [$vertexform] `] is written in vertex form. Write the expression in expanded form [` ax^2 + bx + c `]. [_____________________]{$expandedform} [@ helpLink('formulas') @]* END_PGML |
Main Text:
To help students understand how to format their answers, we give an example |
BEGIN_PGML_SOLUTION Solution explanation goes here. END_PGML_SOLUTION ENDDOCUMENT(); |
Solution: |