1. Adding & Subtracting Polynomials MATH 018 Combined Algebra S. Rook

2. 2 Overview Section 5.4 in the textbook: –Adding polynomials –Subtracting polynomials –Adding and subtracting polynomials

3. 3 Adding Polynomials

4. 44 Recall that like terms: –Must have the same variables raised to the same powers To add polynomials: –Add their like terms –Can be added horizontally or vertically

5. Adding Polynomials (Example) Ex 1: Simplify: a)(4x 3 – 8x 2 + 5x + 7) + (-2x 2 – 5x + 1) b)(4r 2 – 18rs + 6s 2 ) + (8rs – 9r 2 ) 5

6. 6 Subtracting Polynomials

7. 77 To subtract two polynomials: –Distribute the negative to the second polynomial –Combine their like terms To subtract two polynomials vertically: –First distribute the negative through the second polynomial, making the operation addition

8. Subtracting Polynomials (Example) Ex 2: Simplify a)(4x 2 – 3x + 5) – (2 – 3x – 5x 2 ) b)Subtract (5xy – 9x) from (2x + 8y – xy) 8

9. 9 Adding and Subtracting Polynomials

10. 10 Adding & Subtracting Polynomials (Example) Ex 3: Simplify: (7x 2 – 5y) + (-7x + 2y 2 ) – (25x 2 – 9y 2 )

11. 11 Summary After studying these slides, you should know how to do the following: –Add polynomials –Subtract polynomials –Add and subtract polynomials Additional Practice –See the list of suggested problems for 5.4 Next lesson –Multiplying Polynomials (Section 5.5)