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      <text>3.6.4.1 Proper fractions with quadratic factors</text>
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      <text><![CDATA[<h4> Proper fractions with quadratic factors</h4>
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<p>Sometimes when a denominator is factorised it produces a quadratic term which cannot be factorised into linear factors. One such quadratic factor is <span class="math inline">\(x^2+x+1\)</span>. This factor produces a partial fraction of the form
    <span class="math inline">\(\dfrac{Ax+B}{x^2+x+1}\)</span>. In general a quadratic factor of the form <span class="math inline">\(ax^2+bx+c\)</span> produces a single partial fraction of the form <span class="math inline">\(\dfrac{Ax+B}{ax^2+bx+c}\)</span>.</p>
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    <p>A quadratic factor <span class="math inline">\(ax^2+bx+c\)</span> in the denominator produces a partial fraction of the form <span class="math display">\[\dfrac{Ax+B}{ax^2+bx+c}\]</span></p>
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