<ol class="i-list"><li><div class="list-item-paragraph">Given that the curve \(y = ax^2 + 2bx - 1\) lies entirely below the \(x\)-axis, determine the conditions that must be applied to the constants \(a\) and \(b\).</div></li><li><div class="list-item-paragraph">If&nbsp;\(a\) and \(b\) are both integers, state an example of the values of \(a\) and \(b\) which satisfy the conditions found in (i).</div></li></ol>

Given that the curve \(y = ax^2 + 2bx - 1\) lies entirely below the \(x\)-axis, determine the conditions that must be applied to the constants \(a\) and \(b\).

If \(a\) and \(b\) are both integers, state an example of the values of \(a\) and \(b\) which satisfy the conditions found in (i).

2025 CHS PRELIMS P2 Q2

2025 CHS PRELIMS P2 Q2