Download A2H 6

A2C 6.1 warm up
Problems from exponential expressions
worksheet
A2C 6.2 warm up #1
Examine the five types of polynomial
functions listed on page 329. Look at the
definition of a polynomial and then find
the value that has been substituted for
“n” in each of these five types of
functions.
http://www.purplemath.com/modules/pol
yends.htm
Instructions for “…Facebook…” and “Life by the
Numbers” media clips assignment
 Put ALL work and answers on a separate
sheet of paper. This assignment is worth 10
points and will be graded on completion and
correctness.
 For the “…Facebook…” article, answer all
the questions except 3b
 For the “Life by the Numbers” article answer
questions 1a, 1b, and 2
 I will put up a diagram on 11/23 that will help
you with the “Life by the Numbers”
questions.
 When you finish, attach your work to the
handout with the handout on top
 This assignment is due at the end of class on
11/23.
A2C 6.3 warm up
Problems 20 and 24 on page 341
Problems 42 and 44 on page 341
Problem 50 on page 342
6. 7 y  x 
2
7. 2 x  5 y 
3
Review topics for 6.1 – 6.3 quiz
 Definitions: scientific notation;
polynomial function; degree of a
polynomial
 Simplifying exponential expressions
 Word problems using scientific
notation
 Use of synthetic substitution to find
function values
 Addition, subtraction, and
multiplication of polynomials
 Completion of polynomial “end
behavior” chart
 “End behavior” analysis questions
A2C warm up for 6.4
Factor
1. 4 x 2  24 x
2. 2 x 2  11x  21
3. 4 x 2  36 x  81
Solve
4. x 2  10 x  25  0
5. 6 x 2  x  15
Factor
6. 1000 x 3  1
7. 2 x 3  16
8. x 4  64
Factor by grouping
9. x 3  2 x 2  4 x  8
10. 6 x 4  12 x 3  12 x 2  24 x
Factor the polynomial
11. x 4  7 x 2  10
12. 27 x 3  512
13. 3x 4  6 x 3  24 x  48
Find the real solutions of the equation
1. 27 x 3  8  0
2. 2 x 4  10 x 3  2 x  10  0
3. x 4  36  0
A2C warm up #1 for 6.5
Long division algorithm
Divide
Multiply
Subtract
Check
Bring down
Start over
Long division mnemonic
Does
McDonald’s
Serve
Cheese
Burgers
Saturday
Divide using polynomial long division.
1. 4 x 3  6 x 2  5  x 2  4 
Divide using synthetic division.
2. x 3  x 2  x  2   x  2
3. x 3  2   x  1
A2C warm up #2 for 6.5
1. Divide using synthetic division.
3x
4
 2 x 2  5   x  2 
2. Divide, and find the correct function
value for f(k) using the remainder
theorem.
x
3
 3 x 2  34 x  48   x  3
3. Factor the polynomial given that
f(k) =0.
f  x   x3  11x 2  14 x  80; k  8
Given one zero of the polynomial
function, find the other zeros.
3. f  x   x3  x 2  13x  3 , x  3 is a zero.
A2C 6.7 warm up
1. Solve the equation x 3  2 x 2  4 x  8  0
by factoring.
2. Graph the equation y  x3  2 x 2  4 x  8.
List all the x-intercepts of the graph.
Find all the zeros of the following
functions:
3. f  x   x3  x 2  25x  25
4. f  x   x 4  x3  5x 2  x  6
Write a polynomial function of least
degree that has the given zeros, and a
leading coefficient of 1.
5. 3i, 5
A2C review problems for 6.4, 6.5, 6.7, 6.8
quiz
Page 391 problems 12 – 18, 26, 28, 29
Review topics for 6.4, 6.5, 6.7, 6.8 quiz
 Definitions: remainder theorem,
factor theorem, local maximum, local
minimum
 “Concept Summary” on the top of
page 373
 Factoring including sum and
difference of cubes, factoring by
grouping, quadratic form
 Polynomial long division
 Finding a polynomial function in
factored form given some of its zeros
and its leading coefficient
 Finding all the exact zeros of a
polynomial
 Approximating real zeros, turning
points and local extrema of a
polynomial by using a graph
 End behavior