Unit 4: Rational & Radical Functions, Booklet 2

2017

pebblebrook high schoolALGBRA 2

4.4-4.7

4.4 Multiplying and Dividing Rational Expressions

How do you simplify 412?

Example #1:

1) Simplify 14 x3 y2

−7 x2 y

2) Simplify 2x−56 x−15

3) Simplify

You Try….

1) Simplify:

2) Simplify:

How do you multiply (23)(614 )?

Steps for Multiplying Rationals

Simplify FIRST (GCF and/or FACTOR) Reduce

Multiply ACROSS Simplify the numerator

Example #2:

1) Multiply

2) Multiply

You Try…..

How do you divide (23) ÷( 614)?

Steps for Divide Rationals

K EEP the 1st fraction. Then simplify C HANGE division to a multiplication. F LIP the 2nd fraction. Then simplify.

Multiply

Example #3:

1) Divide:

2) Divide:

3) Divide:

You Try…..

Section 4.4 HomeworkSimplify:

Multiply:

Divide:

4.5 Adding & Subtracting Rational ExpressionsHow do you add 57 + 37? How do you add 56 + 37?

Steps for Adding & Subtracting Rational Expressions

FACTOR the denominator Get a common denominator

Add the numerator; keep the denominator the same Simplify

Example #1: Add or Subtract

d. 3x−14 x -

2x−34 x

Example #2: Add or Subtracta) b)

Section 4.5 HomeworkFind the sum.

Find the difference.

4.6 Solving Rational Equations

Examples: 1) Solve

2) Solve

3) Solve

You Try…..

Section 4.6 Homework Solve. Check for extraneous solutions.

4.7 Solving Radical Equations

Steps for solving radicals: ISOLATE the radical Simplify, if necessary. Undo additions/subtractions Undo multiplications/divisions Square/Cube both sides or RECIPROCAL Repeat process, if necessary.

Examples:1) Solve

2) Solve

3) Solve

You Try…..

Section 4.7 Homework