1. Algebra 2
6.3 Adding, Subtracting, and Multiplying Polynomials
Adding Polynomials
Add __________________ like terms.
EX1: Add the polynomials.
3x 3 + 2 ξ2 − ξ − 7
a)
+ ξ3 − 10 ξ2 + 8
b) (9x 3 − 2 ξ + 1) + (5 ξ2 + 12 ξ − 4)
Subtracting Polynomials
Change all of the _________________ of the second polynomial.
____________ like terms.
EX2: Subtract the polynomials.
8x 3 − 3ξ2 − 2 ξ + 9
a)
−(2 ξ3 + 6 ξ2 − ξ + 1)
b) (2x 2 + 3ξ) − (3ξ2 + ξ − 4)

2. Multiplying Polynomials
Multiply the first _______________ by every part of the second ___________________.
Multiply the next term the same way.
Repeat for _________ terms in the first polynomial.
_________________ like terms.
EX3: Multiply the polynomials.
(x − 3)(3ξ2 − 2 ξ − 4)
Multiply the first two polynomials _____________________.
Then multiply the new polynomial times the third.
__________________ like terms.
EX4: Multiply the polynomials.
(x − 1)( ξ + 4)( ξ + 3)
HW p. 341 (20 – 50 even)