I am not sure what "Use a known Maclaurin polynomial" means. I know that sin(2x) = 2sin(x)cos(x). I know how to find a nth degree Maclaurin polynomial, keep diriving the function n times, plug in 0 for x, and divide by the n! multiple the result to the corrisponding x^n.Quote:

Use a known Maclaurin polynomial to find a Maclaurin polynomial of degree 8 for f(x) = xsin(2x)