Algebra and Trigonometry (6th Edition)
6th Edition
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,...
Related questions
Question
100%
![**Practice #02: Finding the x-intercepts**
To find the x-intercepts of the following quadratic equation:
\[ 5x^2 - x - 18 = 0 \]
We are given:
- \( a = \)
- \( b = \)
- \( c = \)
### Diagram Explained:
On the right-hand side of the slide, there is a diagram that illustrates the method for factoring quadratic equations. The diagram shows a cross (commonly known as a "factorization cross" or "X-method") used to find factors of the term \( ac \) that add up to \( b \).
### Steps in the Factorization Cross:
1. **Top and Bottom of the Cross:**
- Top: \( a \cdot c \)
- Bottom: \( b \)
2. **Sides of the Cross:**
- These sides represent the two numbers that multiply to \( a \cdot c \) and add up to \( b \).
The slide then provides spaces below the equation for the student to fill in the values of \( a \), \( b \), and \( c \).
### Factored Form and Solutions:
There is a section at the bottom of the slide labeled "Factored Form" where students are expected to write the quadratic equation in its factored form. Another section labeled "Solution(s)" is for the students to present the x-intercepts they found.
### Interactive Feature:
Students are encouraged to draw anywhere on the slide using a selection of colors provided to the left of the slide.
**Note:** This slide is part of an interactive lesson (Slide 6/11) using Pear Deck Interactive Slide, which allows students to actively participate in solving the equation. At the bottom of the slide, a small icon indicates that the interactive feature is enabled.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21c8de7e-d64a-4846-8430-cefab11c27e3%2F9509f853-53cd-4229-a507-fd0c40d59bfd%2Fzrxcxjo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Practice #02: Finding the x-intercepts**
To find the x-intercepts of the following quadratic equation:
\[ 5x^2 - x - 18 = 0 \]
We are given:
- \( a = \)
- \( b = \)
- \( c = \)
### Diagram Explained:
On the right-hand side of the slide, there is a diagram that illustrates the method for factoring quadratic equations. The diagram shows a cross (commonly known as a "factorization cross" or "X-method") used to find factors of the term \( ac \) that add up to \( b \).
### Steps in the Factorization Cross:
1. **Top and Bottom of the Cross:**
- Top: \( a \cdot c \)
- Bottom: \( b \)
2. **Sides of the Cross:**
- These sides represent the two numbers that multiply to \( a \cdot c \) and add up to \( b \).
The slide then provides spaces below the equation for the student to fill in the values of \( a \), \( b \), and \( c \).
### Factored Form and Solutions:
There is a section at the bottom of the slide labeled "Factored Form" where students are expected to write the quadratic equation in its factored form. Another section labeled "Solution(s)" is for the students to present the x-intercepts they found.
### Interactive Feature:
Students are encouraged to draw anywhere on the slide using a selection of colors provided to the left of the slide.
**Note:** This slide is part of an interactive lesson (Slide 6/11) using Pear Deck Interactive Slide, which allows students to actively participate in solving the equation. At the bottom of the slide, a small icon indicates that the interactive feature is enabled.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education