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factoring_polynomials_1_steps_only.html
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factoring_polynomials_1_steps_only.html
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<!DOCTYPE html>
<html data-require="math math-format">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Factoring polynomials 1</title>
<script src="../khan-exercise.js"></script>
</head>
<body>
<div class="exercise">
<div class="problems">
<div>
<div class="vars">
<div data-ensure="abs(A) !== abs(B)">
<var id="A">randRangeNonZero( -10, 10 )</var>
<var id="B">randRangeNonZero( -10, 10 )</var>
</div>
<var id="SQUARE">1</var>
<var id="CONSTANT">SQUARE*A*B</var>
<var id="SIMPLECONSTANT">A*B</var>
<var id="LINEAR">SQUARE*(-A-B)</var>
<var id="SIMPLELINEAR">-A-B</var>
</div>
<p class="problem">Factor the following expression:</p>
<p class="question"><code><var>plus(SQUARE + "x^2")</var> + <var>plus( LINEAR + "x" )</var> + <var>CONSTANT</var></code></p>
<div class="solution" data-type="set">
<div class="set-sol" data-type="regex">^\s*\(\s*[xX]\s*<var>A < 0 ? "\\+" : "[-\u2212]"</var>\s*<var>abs( A )</var>\s*\)\s*\(\s*[xX]\s*<var>B < 0 ? "\\+" : "[-\u2212]"</var>\s*<var>abs( B )</var>\s*\)\s*$</div>
<div class="set-sol" data-type="regex">^\s*\(\s*[xX]\s*<var>B < 0 ? "\\+" : "[-\u2212]"</var>\s*<var>abs( B )</var>\s*\)\s*\(\s*[xX]\s*<var>A < 0 ? "\\+" : "[-\u2212]"</var>\s*<var>abs( A )</var>\s*\)\s*$</div>
<div class="input-format"><span class="entry"></span></div>
<div class="example">a factored expression, like <b>(x+1)(x+2)</b></div>
</div>
<div class="hints">
<div>
<p><code>
x^2 <var>SIMPLELINEAR >= 0 ? "+" : ""</var> <var>plus( "\\color{" + GREEN + "}{" + SIMPLELINEAR + "}x" )</var>
<var>SIMPLECONSTANT >= 0 ? "+" : ""</var> <var>plus( "\\color{" + BLUE + "}{" + SIMPLECONSTANT + "}" )</var>
</code></p>
<p><code>
\color{<var>PINK</var>}{<var>-A</var>} + \color{<var>PINK</var>}{<var>-B</var>} =
\color{<var>GREEN</var>}{<var>SIMPLELINEAR</var>}
</code></p>
<p><code>
\color{<var>PINK</var>}{<var>-A</var>} \times \color{<var>PINK</var>}{<var>-B</var>} =
\color{<var>BLUE</var>}{<var>SIMPLECONSTANT</var>}
</code></p>
</div>
<p><b>
<code>(x <var>A < 0 ? "+" : ""</var> \color{<var>PINK</var>}{<var>-A</var>})
(x <var>B < 0 ? "+" : ""</var> \color{<var>PINK</var>}{<var>-B</var>})</code>
</b></p>
</div>
</div>
</div>
</div>
</body>
</html>