Among the given polynomials
3+4x–7x4 is a polynomial of degree 4, so it is not a quadratic polynomial.
6x – 15 is not a polynomial of degree 2, so it is not a quadratic polynomial.
4x3–3x is a polynomial of degree 3, so it is not a quadratic polynomial.
x2–x+1 is a polynomial of degree 2, so it is a quadratic polynomial.