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,...
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![**Educational Website Task: Factoring Polynomials**
---
**Le Exit Ticket**
**Task:** Rewrite the following polynomial in factored form by factoring out the Greatest Common Factor (GCF):
\[ 3x^3 - 4x^2 - 9x + 12 \]
---
**Instructions:**
1. **Identify the Greatest Common Factor (GCF)** of the given polynomial terms.
2. **Factor out** the GCF from each term in the polynomial.
3. **Rewrite** the polynomial in its factored form.
**Visuals:**
There are decorative elements on this page, including:
- An orange and yellow background with a border
- A summer-themed graphic at the bottom right corner with the text "SUMMER VIBE" featuring a beach umbrella, a sun, and a glass of juice.
---
Refer to this exercise to practice identifying and factoring out the GCF from polynomial expressions. This skill is crucial for simplifying complex equations and preparing for higher-level algebra.
---
**Sample Solution:**
To guide you, consider the following steps:
1. **Identify the coefficients** (3, -4, -9, 12) and the variable's lowest power (x in this case).
2. Determine the GCF of these coefficients.
3. Factor the polynomial by dividing each term by the GCF and writing the simplified polynomial inside parentheses.
**Keep practicing to master factoring polynomials!**
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fdb6c1d-5240-429e-99dd-4a21b84356c7%2F37d13466-e402-41bf-8c03-59e9e180f36b%2F0ndr09s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Task: Factoring Polynomials**
---
**Le Exit Ticket**
**Task:** Rewrite the following polynomial in factored form by factoring out the Greatest Common Factor (GCF):
\[ 3x^3 - 4x^2 - 9x + 12 \]
---
**Instructions:**
1. **Identify the Greatest Common Factor (GCF)** of the given polynomial terms.
2. **Factor out** the GCF from each term in the polynomial.
3. **Rewrite** the polynomial in its factored form.
**Visuals:**
There are decorative elements on this page, including:
- An orange and yellow background with a border
- A summer-themed graphic at the bottom right corner with the text "SUMMER VIBE" featuring a beach umbrella, a sun, and a glass of juice.
---
Refer to this exercise to practice identifying and factoring out the GCF from polynomial expressions. This skill is crucial for simplifying complex equations and preparing for higher-level algebra.
---
**Sample Solution:**
To guide you, consider the following steps:
1. **Identify the coefficients** (3, -4, -9, 12) and the variable's lowest power (x in this case).
2. Determine the GCF of these coefficients.
3. Factor the polynomial by dividing each term by the GCF and writing the simplified polynomial inside parentheses.
**Keep practicing to master factoring polynomials!**
---
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