<ol class="abc-list"><li data-list-item-id="imported-item-block-0-item-0" data-list-item-path="imported-item-block-0-item-0"><div class="list-item-paragraph">Show that&nbsp;\(x - 1\) is a factor of \(2x^3 - 5x^2 + x + 2\).Hence, factorise \(2x^3 - 5x^2 + x + 2\) completely.[5]</div></li><li data-list-item-id="imported-item-block-0-item-1" data-list-item-path="imported-item-block-0-item-1"><div class="list-item-paragraph">Solve the equation \(2\left(\mathrm{e}^{2y - 2}\right) - 5\left(\mathrm{e}^{y - 1}\right) + 2\mathrm{e}^{1 - y} + 1 = 0\).Leave your answers in exact form.[5]</div></li></ol>

Show that&nbsp;\(x - 1\) is a factor of \(2x^3 - 5x^2 + x + 2\).Hence, factorise \(2x^3 - 5x^2 + x + 2\) completely.

Solve the equation \(2\left(\mathrm{e}^{2y - 2}\right) - 5\left(\mathrm{e}^{y - 1}\right) + 2\mathrm{e}^{1 - y} + 1 = 0\).Leave your answers in exact form.

FHSS 2025 P2 Q3

FHSS 2025 P2 Q3