The correct procedure for subtracting polynomials is:

Multiply the second expression by -1 and add the two expressions together.

Explanation:

1. When subtracting polynomials, distribute the negative sign (or multiply by -1) to each term in the second polynomial.
2. Then, add the modified polynomial to the first polynomial.
3. Combine like terms to get the final result.

Example:

$(3x^2 + 4x - 5) - (2x^2 - 3x + 7)$ Step 1: Distribute the negative sign to the second polynomial: $3x^2 + 4x - 5 + (-2x^2 + 3x - 7)$ Step 2: Add the terms: $(3x^2 - 2x^2) + (4x + 3x) + (-5 - 7)$ $x^2 + 7x - 12$

Would you like more examples or a deeper explanation?

Related Questions:

1. How do you add polynomials?
2. What is the difference between adding and subtracting polynomials?
3. How does distributing the negative sign affect the polynomial?
4. Can you subtract polynomials with different degrees?
5. How do you verify your polynomial subtraction is correct?

Tip:

Always double-check your signs when distributing the negative sign, as errors often occur in this step.