Today’s Agenda

• Attendance / Announcements• Questions from HW?• Section 1.4 Rational

Expressions

Factoring ReviewRemember to always factor

out the G.C.F. and keep factoring until you can’t

factor anymore!xxx 963 23

Factoring ReviewRemember to always factor

out the G.C.F. and keep factoring until you can’t

factor anymore!xx 188 3

Rational ExpressionsAn expression that can be written as the quotient of

two polynomials.

2

532 2

x

xx

1

8

x x

2

note*: We need to make sure…..

Simplifying Rational Expressions

Cancellation Property

Q

P

QS

PS

55

x

x

Simplifying Rational Expressions

Cancellation Property

44

x

x

Simplifying Rational Expressions

Cancellation Property

Simplify each expression…

Simplify each expression… 𝑧2+4 𝑧+4𝑧 2−4

Multiplying Rational Expressions (p. 29)

Same as fraction arithmetic

“Multiply straight across…top and bottom”

Perform each operation…2𝑢2

8𝑢4∙10𝑢3

9𝑢6𝑟 −18

9𝑟 2+6𝑟 −24∙12𝑟 −164𝑟 −12

Dividing Rational Expressions (p. 29)

Same as fraction arithmetic

“Dividing by a fraction Multiply by the reciprocal”

Perform each operation…6 𝑥2 𝑦2𝑥

÷21 𝑥𝑦𝑦

𝑛2−𝑛−6𝑛2−2𝑛−8

÷𝑛2−9

𝑛2+7𝑛+12

Adding / Subtracting Rational Expressions

“Just like with fractions…We need a….”

Perform each operation…

Perform each operation…3

𝑚2−3𝑚−10+

7

𝑚2−𝑚−20

Complex Fractions (p. 33)

13

2

x

x

Complex Fractions (p. 33)

k

k5

1

56

Classwork / Homework

• Page 34 1 – 45 (every other odd)

47, 55, 58

...Ask questions if you have ‘em!...And review factoring!