Final answer:
To find the difference between the given polynomials, subtract the coefficients of the like terms. The difference is -7x^2 + 5x + 7.
Step-by-step explanation:
To find the difference between two polynomials, we subtract the terms with the same degree. In this case, we have -x^2 + 7 and 6x^2 + 2x. To subtract the terms, we subtract the coefficients of the like terms. So, the difference is -x^2 + 7 - 6x^2 - 2x.
Now, let's combine like terms. -x^2 and -6x^2 have the same degree, so we subtract their coefficients to get -7x^2. The same goes for 7 and -2x, which results in a difference of 5x. Therefore, the difference of the given two polynomials is -7x^2 + 5x + 7.