9709 P32 - Mar 2026 - Q6
4329
The polynomial \(2x^4+ax^3+4x^2+bx-3\) is denoted by \(p(x)\).
It is given that \((x^2+x+1)\) is a factor of \(p(x)\).
(a) Find the values of \(a\) and \(b\).
(b) Hence, show that \((x+3)\) is a factor of \(p(x)\).
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