unit 5 lesson 1 investigation 3.notebook - appoquinimink...
TRANSCRIPT
Unit 5 Lesson 1 Investigation 3.notebook
1
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions?
WarmUp:
f(x) = 2x 4 g(x) = x2 + 3x + 2 h(x) = x2 + 7x
How many zeros could the following functions have based on their degree? (First solve the algebraic operation, then answer the question)
1. f(x)
2. g(x)
3. h(x) + g(x) =
4. g(x) + h(x) =
5. g(x) f(x) =
6. h(x) g(x) =
Unit 5 Lesson 1 Investigation 3.notebook
2
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 332
Unit 5 Lesson 1 Investigation 3.notebook
3
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 332333
Unit 5 Lesson 1 Investigation 3.notebook
4
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 332333
Standard Form Factored Formh(x) = x2 + 4x
j(n) = n2 + n + 6
k(x) = (2x 1)(x + 5)
Unit 5 Lesson 1 Investigation 3.notebook
5
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 332333
Function Zeros/XInterceptsh(x) = x(x + 4)
j(n) = (n 3)(n + 2)
k(x) = (2x 1)(x + 5)
Unit 5 Lesson 1 Investigation 3.notebook
6
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 332333
Function Line of Symmetry Max/Min Point yIntercept
h(x) = x(x + 4)
j(n) = (n 3)(n + 2)
k(x) = (2x 1)(x + 5)
Unit 5 Lesson 1 Investigation 3.notebook
7
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 332333
Function Line of Symmetry Max/Min Point yIntercept
h(x) = x2 + 4x
j(n) = n2 + n + 6
k(x) = 2x2 + 9x 5
Unit 5 Lesson 1 Investigation 3.notebook
8
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 333
Unit 5 Lesson 1 Investigation 3.notebook
9
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 333
WarmUp:
Complete the two tables for the following two functions. Be prepared to share how you solved it.
f(x) = (x 2)(x + 4)
g(x) = x2 + 6x + 8
Zeroes yIntercept Line of Symmetry Min/Max Point
Zeroes yIntercept Line of Symmetry Min/Max Point
Unit 5 Lesson 1 Investigation 3.notebook
10
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 333
Unit 5 Lesson 1 Investigation 3.notebook
11
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 333
Factored Standard
xintercept
yintercept
line of symmetry
max/min point
Unit 5 Lesson 1 Investigation 3.notebook
12
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 334
Unit 5 Lesson 1 Investigation 3.notebook
13
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 334
Unit 5 Lesson 1 Investigation 3.notebook
14
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 334
Unit 5 Lesson 1 Investigation 3.notebook
15
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 334
WarmUp:
Expand the following:
(x + 7)(x 4)
(x 1)(x2 + 3x 8)
(x2 4x + 2)(2x2 + 6x 4)
Unit 5 Lesson 1 Investigation 3.notebook
16
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 334
Unit 5 Lesson 1 Investigation 3.notebook
17
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 334
Unit 5 Lesson 1 Investigation 3.notebook
18
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 335
Unit 5 Lesson 1 Investigation 3.notebook
19
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 335
Unit 5 Lesson 1 Investigation 3.notebook
20
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 335
Unit 5 Lesson 1 Investigation 3.notebook
21
May 01, 2014
LEQ: How do we use factoring to determine zeros of polynomial functions? p. 335