Name _ Date _ Class_
LESSON
6-5
Practice C
Finding Real Roots of Polynomial Equations
Solve each polynomial equation by factoring.
1. 3x 4 + 6x 3 + 105x 2 = 0
2. 8x 7 56x 6 + 96x 5 = 0
_
_
Identify the roots of each equation. State the multiplicity of eac
Name _ Date _ Class_
LESSON
8-6
Problem Solving
Radical Expressions and Rational Exponents
Louise is building a guitar-like instrument. It has small metal bars,
called frets, positioned across its neck so that it can produce notes of
a specific scale on e
Answers: Chapter 7 Exponential and Logarithmic Functions
Lesson 7-1 Exponential Functions, Growth, and Decay;
7. decay
11. a. f(x)=10(0.95)"
Insulin {u nitsl
Id-b.5100
D a s 12 15
Timeimin]
c. = 6 units
d. 3.6 min.
17. 5.8 yr
23. (0, 1)
Name _ Date _ Class_
Practice C
LESSON
8-6
Radical Expressions and Rational Exponents
Simplify each expression. Assume all variables are positive.
1.
4
( 2x )
8
3 ( 2x )
6
2.
_
x16 y 8
81
4
3.
_
3
x7
27 x 3
_
Write each expression in radical form, and si
6-4 Factoring Polynomials Day 1
Algebra 2H
GCF and Grouping
When factoring, ALWAYS look for the Greatest Common Factor (GCF) first!
EX 1:
A
4x2 - 108x
B
125d2 - 50
FACTOR by grouping (looking for a GCF multiple times):
EX3:
x3 + 2x2 - 9x - 18
EX4:
EX 5:
S
Name _ Date _ Class_
LESSON
6-5
Problem Solving
Finding Real Roots of Polynomial Equations
Most airlines have rules concerning the size of checked baggage.
The rules for Budget Airline are such that the dimensions of the
largest bag cannot exceed 45 in. b
Algebra II
Name:
Worksheet #1
Factoring Polynomials: GCF and Factoring by Grouping
Find the GCF (greatest common factor) of the expressions.
EX
5 x 2 y 2 , 30 x 3 y
(
The GCF is 5 x 2 y
)
The GCF is
(
2 x x + 5 , 15 x + 5
EX
(x
+ 5
)
)
EXERCISES: Find the
Name _ Date _ Class_
LESSON
6-4
Problem Solving
Factoring Polynomials
Paulo is drawing plans for a set of three proportional nesting
baskets, in the shape of open rectangular prisms.
1. The volume for the middle-sized basket (B) can be
modeled by the func
FST polynomial unit
Dolciani page 222/#1-29 odds only
Name_
Solve. If there are no solutions, so state.
Steps:
1
1) isolate the radical
2) undo the radical (use inverse)
x 4 0
17
2s 3 s
3
t 1 5
19
x 2 4x
5
x 2 2 0
21
x 2 x 1 1
7
x3
2
2
23
2 4u 3 u
9
u 5 3