1. A3 4.2a To Operate on Polynomials
A3 4.2a To Operate on Polynomials

2. To Add: Combine like terms (you can “stack” terms)
LESSON:
2x, 5x2, 8x5 – 13x3 + 4x – 9 are Polynomials As long as “x” is not in the denominator, it is OK
To Add: Combine like terms (you can “stack” terms)
(3x2 + 5x – 19) + (10x3 – 11x + 10)

3. To Subtract: Add the Opposite, then Combine like terms
(-4x2 + 6x – 8) – (15x2 – 13x + 20)
(9x2 y5– 6xy – 2) – (5x2 y5 – 12xy + 10)

4. To Multiply: Every term from the first polynomial multiplies every term from the second polynomial. If it is only two terms with two terms, we “FOIL” it.
(4x2 + 6) (5x2 –10)
(5xy + 6) (5x3y2 – 8)
How do you know the difference between addition, subtraction, and multiplication?

5. (8x5 – 13x3 + 4x ) (3x2 –7) (4ab2 + 10) (7a4 – b3 + 4ab – 9)
If there are more than two terms for either or both, we can still follow the logic of FOIL, but expand it.
(8x5 – 13x3 + 4x ) (3x2 –7)
(4ab2 + 10) (7a4 – b3 + 4ab – 9)

6. To Divide (simple division): Divide the denominator into each term of the numerator

7. Active Learning Assignment: Operations of Polynomials Handout
Add : 1, 3, 5
Subtract: 7,9, 11
Multiply: 15, 17, 19, 23
Divide: 1, 3, 5