<p>Find the coordinates of the points of intersection of the line \(2x + y = 3\) and the curve \(3x^2 - y^2 + 4xy - 6 = 0\).</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Given \(\mathrm{f}(x) = 2x^3 + 3x^2 - 11x - 6\), find the remainder when \(\mathrm{f}(x)\) is divided by \(2x + 5\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the remainder when \(x^3 + 3x - 2\) is divided by \(x + 2\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the remainder when \((x + 2)^3(x - 1) - 6x + 3\) is divided by \(x + 3\).</span></div></li></ol>

Find the coordinates of the points of intersection of the line \(2x + y = 3\) and the curve \(3x^2 - y^2 + 4xy - 6 = 0\).

Given \(\mathrm{f}(x) = 2x^3 + 3x^2 - 11x - 6\), find the remainder when \(\mathrm{f}(x)\) is divided by \(2x + 5\).

Find the remainder when \(x^3 + 3x - 2\) is divided by \(x + 2\).

Find the remainder when \((x + 2)^3(x - 1) - 6x + 3\) is divided by \(x + 3\).

Polynomials, Cubic Equations and Partial Fractions

Polynomials, Cubic Equations and Partial Fractions

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