When subtracting polynomials you must distribute the minus sign to all of the terms in the polynomial being subtracted.

Yes, that's correct. When subtracting polynomials, you must distribute the minus sign to all of the terms in the polynomial being subtracted. Here's a step-by-step guide:

1. Write down the polynomials that you want to subtract. For example, let's take (3x^2 + 2x - 1) - (x^2 - 3x + 2).

2. Distribute the minus sign to all of the terms in the polynomial being subtracted. This changes the sign of each term in the second polynomial. So, (x^2 - 3x + 2) becomes (-x^2 + 3x - 2).

3. Now, subtract the corresponding terms in the two polynomials. So, (3x^2 + 2x - 1) - (x^2 - 3x + 2) becomes (3x^2 - x^2) + (2x + 3x) + (-1 - 2).

4. Simplify each term to get the final result. So, (3x^2 - x^2) + (2x + 3x) + (-1 - 2) simplifies to 2x^2 + 5x - 3.

So, the result of subtracting the polynomial (x^2 - 3x + 2) from the