📚 Topic Summary
Adding and subtracting polynomials involves combining like terms. Like terms have the same variable raised to the same power. When adding, simply combine the coefficients of like terms. When subtracting, distribute the negative sign to each term in the polynomial being subtracted, and then combine like terms. Remember to pay close attention to the signs! A small mistake can throw off the whole problem.
🧠 Part A: Vocabulary
Match each term to its correct definition:
| Term |
Definition |
| 1. Polynomial |
A. A term with a constant value |
| 2. Term |
B. The number multiplied by the variable in a term |
| 3. Constant |
C. An expression with one or more terms involving variables and coefficients |
| 4. Coefficient |
D. A polynomial with two terms |
| 5. Binomial |
E. A single number or variable, or numbers and variables multiplied together |
Answer Key:
1-C, 2-E, 3-A, 4-B, 5-D
✍️ Part B: Fill in the Blanks
When __________ polynomials, we only combine ___________ terms. Like terms have the same __________ raised to the same __________. When subtracting polynomials, be sure to __________ the negative sign. This changes the __________ of each term in the second polynomial.
Word Bank: signs, variable, adding, power, like, distribute
Answer: Adding, like, variable, power, distribute, signs
🤔 Part C: Critical Thinking
Explain, in your own words, why it is important to distribute the negative sign correctly when subtracting polynomials. What common mistakes can occur if you forget this step?