Question

7.2 adding & subtracting polynomials quiz

when subtracting polynomials, you must distribute the negative sign before combining like terms.

true
false

Explanation:

Analyze polynomial subtraction

Using the Subtracting Polynomials knowledge point

$$ A(x) - B(x) = A(x) + (-1) \cdot B(x) $$

Apply distribution rule

Using the Distributive Property knowledge point

$$ -(a + b + c) = -a - b - c $$

Combine like terms

Using the Combining Like Terms knowledge point

$$ \text{Group and simplify terms with identical variable parts.} $$

Determine statement truth value

The statement asserts that the negative sign must be distributed before combining like terms. This is mathematically correct and prevents sign errors.

$$ \text{Statement} = \text{True} $$

Answer:

• True (Correct answer)
• False