Finding Taylor series coefficients after multiplying e^x by a polynomial

[Complexity]

Homework Statement

http://img704.imageshack.us/f/helpppp.png/

Homework Equations

The Attempt at a Solution

I know e^(x) = 1 + x + x^(2)/2! + ...

But if you multiply that by (x^(4))+4x^(3))

How do you know what bn and a is?

 

[Mark44]

Homework Statement

http://img704.imageshack.us/f/helpppp.png/

Homework Equations

The Attempt at a Solution

I know e^(x) = 1 + x + x^(2)/2! + ...

But if you multiply that by (x^(4))+4x^(3))

How do you know what bn and a is?

You have the Maclaurin series for e^x. Just multiply each term by x^4 + 4x^3. That will be the series you're looking for.