Chapter Five:  Exponents and Polynomials

Take notes on the following topics.

Chapter Five

Section 5.1

Section 5.2

Section 5.3

Section 5.4

Section 5.5

Section 5.6

Section 5.7

Section 5.8

Section 5.9

Section 5.10

Section 5.11

Section 5.12

Back to Mrs. Leary's Math Web Page or  Back to Algebra Contents

Section 5.9  Multiplication of Monomials and Binomials

Vocabulary

• FOIL

• first terms

• outside terms

• inside terms

• last terms

Remember

• When multiplying a polynomial by a monomial use the Distributive Property.

• Each term in the polynomial must be multiplied by the monomial.

Worked out examples for Part I: Multiplying a Polynomial by a Monomial

Multiply.

 

Example 1		3a(6b + 7) = (3a)(6b) + (3a)7  = 18ab + 21a
Example 2	2x(3x2 + x + 4) = (2x)(3x2) + (2x)x + (2x)4  = 6x3 + 2x2 + 8x

Worked out examples for Part II: Multiplying Two Binomials

Multiply.

 

Example 1		(x – 4)(x + 2) = x2 + 2x – 4x – 8  = x2 – 2x – 8
Example 2	(3x + 2)(x + 5) = 3x2 + 15x + 2x + 10  = 3x2 + 17x + 10
Example 3	(4ab + 3)(2a2b + 1) = (4ab)( 2a2b) + (4ab)1 + 3( 2a2b) + 3 • 1  = 8a3b2 + 4ab + 6a2b + 3

Take class notes.