Subtracting polynomials examples

1. Example 1: (𝑥2+𝑥 − 1) − (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition
problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

2. Example 1: (𝑥2+𝑥 − 1) − (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition
problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

3. Example 1: (𝑥2+𝑥 − 1) − (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition
problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

4. Example 1: (𝑥2+𝑥 − 1) − (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition
problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

5. Example 1: (𝑥2+𝑥 − 1) − (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition
problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

6. Example 1: (𝑥2+𝑥 − 1) − (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition
problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

7. Example 1: (𝑥2+𝑥 − 1) − (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition
problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

8. Example 1: (𝑥2+𝑥 − 1) − (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition
problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

9. Example 1: (𝑥2+𝑥 − 1) − (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition
problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

10. Example 2: 𝑥2 + 𝑥 − 3 − (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

11. Example 2: 𝑥2 + 𝑥 − 3 − (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

12. Example 2: 𝑥2 + 𝑥 − 3 − (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

13. Example 2: 𝑥2 + 𝑥 − 3 − (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

14. Example 2: 𝑥2 + 𝑥 − 3 − (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

15. Example 2: 𝑥2 + 𝑥 − 3 − (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

16. Example 2: 𝑥2 + 𝑥 − 3 − (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

17. Example 2: 𝑥2 + 𝑥 − 3 − (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer

18. Example 2: 𝑥2 + 𝑥 − 3 − (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Use Algebra Tiles to solve the addition problem
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Rewrite subtraction as adding the opposite
2. Add like terms
3. Write the final answer