Card Sort for lesson 4.6 Factors, Intercepts, and Graphs Card 3 Factors, Intercepts, and Graphs Card A Factors, Intercepts, and Graphs Card G A graph with only positive x-intercepts. y = (x – 5)(x – 4)(2x + 3) y = (x – 5)(x + 4)(2x – 3) Factors, Intercepts, and Graphs Card 8 YA Factors, Intercepts, and Graphs Factors, Intercepts, and Graphs Card F Card 5 100 y = (x + 5)(x+ 4)(2x + 3) 50 Factors, Intercepts, and Graphs A graph with only negative x-intercepts. Card 2 A graph with a-intercepts at 5, 3 -4 -2 2 -50 -4, and 2. Factors, Intercepts, and Graphs -100 Card D -150 y = (x + 5)(x – 4)(2x + 3)
Card Sort for lesson 4.6 Factors, Intercepts, and Graphs Card 3 Factors, Intercepts, and Graphs Card A Factors, Intercepts, and Graphs Card G A graph with only positive x-intercepts. y = (x – 5)(x – 4)(2x + 3) y = (x – 5)(x + 4)(2x – 3) Factors, Intercepts, and Graphs Card 8 YA Factors, Intercepts, and Graphs Factors, Intercepts, and Graphs Card F Card 5 100 y = (x + 5)(x+ 4)(2x + 3) 50 Factors, Intercepts, and Graphs A graph with only negative x-intercepts. Card 2 A graph with a-intercepts at 5, 3 -4 -2 2 -50 -4, and 2. Factors, Intercepts, and Graphs -100 Card D -150 y = (x + 5)(x – 4)(2x + 3)
Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![### Card Sort for Lesson 4.6
#### Factors, Intercepts, and Graphs
- **Card G:**
\[
y = (x - 5)(x + 4)(2x - 3)
\]
- **Card 3:**
**A graph with only positive x-intercepts.**
- **Card A:**
\[
y = (x - 5)(x - 4)(2x + 3)
\]
- **Card F:**
\[
y = (x + 5)(x + 4)(2x + 3)
\]
- **Card 2:**
**A graph with x-intercepts at 5, -4, and \(\frac{3}{2}\).**
- **Card 5:**
**A graph with only negative x-intercepts.**
- **Card D:**
\[
y = (x + 5)(x - 4)(2x + 3)
\]
- **Card 8:**
- **Graph Description:**
The graph is of a polynomial function passing through the x-axis. Below is the detailed description of the graph:
- The graph has an x-intercept at approximately -5, -4, and 3/2.
- The y-axis is labeled from -150 to 150.
- The x-axis is labeled from -6 to 6.
- The curve appears to first intersect the x-axis around -5, then dip below, intersect again around -3, and finally rise and intersect the x-axis again around 3/2 before continuing upward.
This learning activity involving card sorting helps students understand and analyze the factors, intercepts, and graphical representation of polynomial functions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ce901d6-1005-4fae-945e-8fe9887caefc%2F63b4be8e-0d26-4388-88d6-76121bba841d%2F5gsgpuq_processed.png&w=3840&q=75)
Transcribed Image Text:### Card Sort for Lesson 4.6
#### Factors, Intercepts, and Graphs
- **Card G:**
\[
y = (x - 5)(x + 4)(2x - 3)
\]
- **Card 3:**
**A graph with only positive x-intercepts.**
- **Card A:**
\[
y = (x - 5)(x - 4)(2x + 3)
\]
- **Card F:**
\[
y = (x + 5)(x + 4)(2x + 3)
\]
- **Card 2:**
**A graph with x-intercepts at 5, -4, and \(\frac{3}{2}\).**
- **Card 5:**
**A graph with only negative x-intercepts.**
- **Card D:**
\[
y = (x + 5)(x - 4)(2x + 3)
\]
- **Card 8:**
- **Graph Description:**
The graph is of a polynomial function passing through the x-axis. Below is the detailed description of the graph:
- The graph has an x-intercept at approximately -5, -4, and 3/2.
- The y-axis is labeled from -150 to 150.
- The x-axis is labeled from -6 to 6.
- The curve appears to first intersect the x-axis around -5, then dip below, intersect again around -3, and finally rise and intersect the x-axis again around 3/2 before continuing upward.
This learning activity involving card sorting helps students understand and analyze the factors, intercepts, and graphical representation of polynomial functions.
![### Factors, Intercepts, and Graphs
Welcome to our educational resource on factors, intercepts, and graphs. Below, you’ll find a set of cards each presenting algebraic expressions, intercepts, and corresponding graphical representations of polynomial functions. These tools are useful for understanding the roots and behaviors of polynomial equations.
---
#### Card A
**Expression:**
\[ y = (x + 5)(x - 4)(2x - 3) \]
---
#### Card B
**Expression:**
\[ y = (x + 5)(x + 4)(2x - 3) \]
---
#### Card C
**Expression:**
\[ y = (x - 5)(x + 4)(2x + 3) \]
---
#### Card E
**Expression:**
\[ y = (x - 5)(x - 4)(2x - 3) \]
---
#### Card H
**Expression:**
\[ y = (x + 5)(x - 4)(2x - 3) \]
---
#### Card 6
**Intercepts:**
A graph with \( x \)-intercepts at \(-5\), \(\frac{3}{2}\), and \(-4\).
---
### Graphical Representations
#### Card 1
**Graph:**
This graph has \( x \)-intercepts at \( -5 \), \( 4 \), and \( \frac{3}{2} \). The curve crosses the x-axis at these points, illustrating the roots of the polynomial equation.
---
#### Card 4
**Graph:**
Exhibits a polynomial function with intercepts likely matching one of the provided sets of intercepts and emphasizes the behavior at intercepts \( 5 \), \( -4 \), and near \( 2 \).
---
#### Card 7
**Graph:**
This graph shows a polynomial with \( x \)-intercepts at \( -5 \), \( 4 \), and \(\frac{3}{2}\). The graph highlights polynomial behavior, such as turning points and symmetry.
---
Explore these resources to gain a deeper understanding of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ce901d6-1005-4fae-945e-8fe9887caefc%2F63b4be8e-0d26-4388-88d6-76121bba841d%2F6z7ulue_processed.png&w=3840&q=75)
Transcribed Image Text:### Factors, Intercepts, and Graphs
Welcome to our educational resource on factors, intercepts, and graphs. Below, you’ll find a set of cards each presenting algebraic expressions, intercepts, and corresponding graphical representations of polynomial functions. These tools are useful for understanding the roots and behaviors of polynomial equations.
---
#### Card A
**Expression:**
\[ y = (x + 5)(x - 4)(2x - 3) \]
---
#### Card B
**Expression:**
\[ y = (x + 5)(x + 4)(2x - 3) \]
---
#### Card C
**Expression:**
\[ y = (x - 5)(x + 4)(2x + 3) \]
---
#### Card E
**Expression:**
\[ y = (x - 5)(x - 4)(2x - 3) \]
---
#### Card H
**Expression:**
\[ y = (x + 5)(x - 4)(2x - 3) \]
---
#### Card 6
**Intercepts:**
A graph with \( x \)-intercepts at \(-5\), \(\frac{3}{2}\), and \(-4\).
---
### Graphical Representations
#### Card 1
**Graph:**
This graph has \( x \)-intercepts at \( -5 \), \( 4 \), and \( \frac{3}{2} \). The curve crosses the x-axis at these points, illustrating the roots of the polynomial equation.
---
#### Card 4
**Graph:**
Exhibits a polynomial function with intercepts likely matching one of the provided sets of intercepts and emphasizes the behavior at intercepts \( 5 \), \( -4 \), and near \( 2 \).
---
#### Card 7
**Graph:**
This graph shows a polynomial with \( x \)-intercepts at \( -5 \), \( 4 \), and \(\frac{3}{2}\). The graph highlights polynomial behavior, such as turning points and symmetry.
---
Explore these resources to gain a deeper understanding of
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