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problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Algebra/ExpandedPolynomial.html a newer version of this problem]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] |
* 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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<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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<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(); |
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Latest revision as of 04:47, 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 |
|---|---|
|
Problem tagging: |
|
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: |
