Final answer:
To subtract one polynomial from another, subtract the coefficients of each term with the same degree.
Step-by-step explanation:
The question involves subtracting one polynomial from another. Specifically, it asks for the result of subtracting (3x²–4x+1) from (2x²+3x–4). To solve this, we consider each term of the polynomials individually and subtract the corresponding parts:
To subtract one polynomial from another, you need to subtract the coefficients of each term with the same degree. In this case, we have:
(2x^2+3x–4) - (3x^2–4x+1)
Subtracting the terms with the same degree:
2x^2 - 3x^2 = -x^2
3x - (-4x) = 3x + 4x = 7x
-4 - 1 = -5
So, the result is -x^2 + 7x - 5.