\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the values of \(a\) and \(b\) given the polynomial identity:$$ (2x+a)(x^2+bx-1) = 2x^3 + 5x^2 + x - 3, \forall x\in \mathbb{R} $$
\(a = \)
, \(b = \)