(2x^2-3x+1)(x^2+x-2)

You didn't say what you want done; so

I'm going to multiply the 2 trinomials.

(2x^2 - 3x + 1) (x^2 + x - 2)
Multiply the 1st term in the 1st parenthesis by each term in the 2nd
par. Repeat for the next 2 terms in
the 1st par. Then combine like-terms.

2x^4 + 2x^3 - 4x^2 -3x^3 -3x^2 = 6x +
x^2 + x - 2.

2x^4 - x^3 - 6x^2 + 7x - 2.