<p>The polynomial \(g(x) = mx^3 - 8x^2 - 9x + n\) has a factor of \(3x - 2\) and leaves a remainder of \(6\) when divided by \(x\).</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the values of \(m\) and \(n\).</span><span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">Using the values of \(m\) and \(n\) from <strong>(a)</strong>, solve, in exact form, the equation \(g(x) = 0\).<span class="inline-marks">[3]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Hence solve the equation \(9e^{2y} + 8e^y = 12 + 6e^{3y}\).</span><span class="inline-marks">[3]</span></div></li></ol>

The polynomial \(g(x) = mx^3 - 8x^2 - 9x + n\) has a factor of \(3x - 2\) and leaves a remainder of \(6\) when divided by \(x\).

Using the values of \(m\) and \(n\) from (a), solve, in exact form, the equation \(g(x) = 0\).

Using the values of \(m\) and \(n\) from **(a)**, solve, in exact form, the equation \(g(x) = 0\).

2023 Ahmad Ibrahim Sec AM S3 EOY Q9

2023 Ahmad Ibrahim Sec AM S3 EOY Q9

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