1. Adding and Subtracting Polynomials
Linwood
John Ehret High School
Algebra I

2. Classified by Number of Terms
Classify Polynomials
Polynomial
Degree
Classified by Degree
Classified by Number of Terms 6
Constant
Monomial
-2x 1
Linear
3x + 1
Binomial
-x2 +2x – 5 2
Quadratic
Trinomial
4x3 – 8x 3
Cubic
2x4 – 7x3 – 5x + 1 4
Quartic

3. Write each polynomial in Standard Form.
Rule: The degree of each term put in order from greatest to least.
1) x4 + 2 – x2

4. Write each polynomial in Standard Form.
2) -2y + y3 + y2 – 3

5. Simplify each polynomial.
3) 5a + a2 + 3a2 + 2

6. Simplify each polynomial.
4) 3x – 8x + 2x2 + 4x2

7. Simplify each polynomial.
5) 12x x2 – 8

8. Adding Polynomials

9. Example 1
(2x2 + 3x – 1) + (x2 + x + 3)

10. Example 2
(7d2 + 7d) + (2d2 + 3d)

11. Example 3 Your Turn
(x2 + 2x + 5) + (3x2 + x +12)

12. Find the Sum.
4) z2 + 5z + 4 and 2z2 - 5

13. Find the sum.
5) (4g2 – 2g + 2) + (2g2 – 3)

14. Subtracting Polynomials

15. 6) (-2x3 + 5x2 – x + 8) – (-2x3 + 3x – 4)

16. 7) (x2 – 8) – (7x + 4x2)

17. 8) (3x2 – 5x + 3) – (2x2 – x – 4)

18. White Board Practice Take out TEXTBOOK Turn to PAGE 579