This document provides instructions for adding, subtracting, and multiplying polynomials. It explains that when adding polynomials, like terms should be combined. When subtracting polynomials, the signs of the second polynomial should be changed before combining like terms. When multiplying polynomials, each term of the first polynomial should be multiplied by each term of the second polynomial before combining like terms. Examples are provided to demonstrate each process.

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)