Rearrange the terms of a polynomial

p = x ^ 2 E ^ (2x) + 2x E ^ (2x) + x E ^ x

E^x*x + 2*E^(2*x)*x + E^(2*x)*x^2

Collect[p, x]

E^x + 2*E^(2*x) + E^(2*x)*x

Collect[p, E ^ _]

Collect[E^x*x + 2*E^(2*x)*x + E^(2*x)*x^2, E^(_)]

Collect[p, E ^ _, Simplify]

Collect[E^x*x + 2*E^(2*x)*x + E^(2*x)*x^2, E^(_), Simplify]

poly = x ^ 2 - 3x + 2

2 - 3*x + x^2

Coefficient[poly, x, 0]

2

poly /. x -> 0

2

MonomialList[poly, x]

{x^2, -3*x, 2}

poly//TraditionalForm

TraditionalForm[2 - 3*x + x^2]