Chapter 5

Polynomials: An Introduction to Algebra

§5.1 – Fundamental Operations

• Review order of operations– PEMDAS

• Algebraic expressions– Term, coefficient, exponent

• Evaluate algebraic expressions given values• Problems 5.1 #10, 20, 42 (p. 204)

§5.2 – Simplifying Expressions

• Removing parenthesis– Distributing a + or –

• Like terms– What are they– Combining

• Problems 5.2 #4, 34, 52, 76 (p. 207)

§5.3 – Addition and subtraction ofpolynomials

• Polynomials– Monomial, binomial, trinomial, polynomial

• Degree– Term– Polynomial

• Addition of polynomials• Subtraction of polynomials• Problems 5.3 #20, 24, 42 (p. 211)

§5.4 – Multiplication of Monomials• Rules for exponents

• Problems 5.4 #2, 12, 22, 48, 68 (p. 213)

0

( )

( )

1

1

m n m n

mm n

n

m n mn

n n n

n n

n

nn

a a a

aa

a

a a

ab a b

a a

b b

aa

a

§5.5 – Multiplication ofPolynomials

• Distributive Property• Vertical multiplication (yuck!)• Problems 5.5 #22, 44, 66 (p. 215)

§5.6 – Division by a monomial

• Monomial divided by monomial• Polynomial divided by monomial• Problems 5.6 #4, 20, 38 (p. 217)