Bellwork

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. Identify the degree and the
leading coefficient.

1. 5x 13 8x3
2. 4y4 7y5 2y
3. -5m2 1 9m
4. 2r3 4r4 r 5r2

7
(Ex 2) Add polynomials

• Find the sum
• (4x3 x2 5) (7x x3 3x2)
• (x2 x 8) (x2 x 1)

8
Checkpoint Find the sum.

• (3x4 2x2 1) (5x3 x2 9x4)
• (4x2 15 6x3) (8x 24 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)