12. Exemplar - Determine the value of m and a using factor theorem

1. Find the value of \(m\), so that \(2x -1\) be a factor of \(8x^4 +4x^3 -16x^2 +10x+m\).

\(m=\)

2. If \(x +1\) is a factor of \(ax^3 +x^2 -2x+4a-9\), then find the value of \(a\).