1. Bellwork Simplify the following by combining like terms.
2xyz + 4x + 5y + 2x – 3z – 2y – xyz
3x2 + 4x3 – 2x + x3 – x2 + 2x

2. Unit 2 Algebra Investigations
Lesson 1: Exploring Algebraic Expressions and Equivalent Expressions
Notes 2.1: Add and Subtract Polynomials

3. Vocabulary
Monomial
A number, variable, or the product of a number and one or more variables.
Polynomial
A monomial or the sum of monomials.
Binomial
A polynomial with 2 terms.
Trinomial
A polynomial with 3 terms.

4. Vocabulary Degree The greatest exponent in a polynomial. Standard Form
When a polynomial is written from largest exponent to smallest exponent.
Leading coefficient
The coefficient of the first term of a polynomial in standard form.

5. (Ex 1) Rewrite a polynomial
Write 7 + 2x4 – 4x so that the exponents decrease from left to right. Identify the degree and the leading coefficient of the polynomial.

6. Checkpoint: Write the polynomial so that the exponents decrease
Checkpoint: Write the polynomial so that the exponents decrease. Identify the degree and the leading coefficient.
5x x3
4y4 – 7y5 + 2y
-5m2 + 1 – 9m
2r3 + 4r4 + r – 5r2

7. (Ex 2) Add polynomials Find the sum: (4x3 + x2 – 5) + (7x + x3 – 3x2)

8. Checkpoint: Find the sum.
(3x4 – 2x2 – 1) + (5x3 – x2 + 9x4)
(4x2 – x3) + (8x x2)

9. (Ex 3) Subtract polynomials
Find the difference:
(3x2 + 6x – 4) – (x2 – x – 7)
(4z2 – 3) – (-2z2 + 5z – 1)

10. Checkpoint: Find the difference.
(3t2 – 5t + t4) – (11t4 – 3t2)
(4p3 + 3p – 6) – (-2p3 – p2 + 3)