Polynomial division & factor theorem

<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">Given&nbsp;\(\mathrm{f}(x) = 2x^3 + 3x^2 - 11x - 6\), find the remainder when&nbsp;\(\mathrm{f}(x)\) is divided by \(2x + 5\).</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">Find the remainder when&nbsp;\(x^3 + 3x - 2\) is divided by \(x + 2\).</div></li><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">Find the remainder when&nbsp;\((x + 2)^3(x - 1) - 6x + 3\) is divided by \(x + 3\).</div></li></ol>

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 - Remainder and Factor Theorems

Polynomials, Cubic Equations and Partial Fractions - Remainder and Factor Theorems

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