9709 P32 - Jun 2022 - Q3
1446
The polynomial \(ax^3 + x^2 + bx + 3\) is denoted by \(p(x)\). It is given that \(p(x)\) is divisible by \((2x - 1)\) and that when \(p(x)\) is divided by \((x + 2)\) the remainder is 5.
Find the values of \(a\) and \(b\).
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