Mcguire Bradley
12/31/2023 · Middle School

What is the GCF of the terms of \( 3 x^{2}-15 x+6 ? \)

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

To find the greatest common factor (GCF) of the terms of the expression \(3x^2 - 15x + 6\), we need to factorize the expression first. Given expression: \(3x^2 - 15x + 6\) Factorizing the expression: \(3x^2 - 15x + 6 = 3(x^2 - 5x + 2)\) Now, we need to find the GCF of the terms inside the parentheses \(x^2 - 5x + 2\). The terms inside the parentheses are \(x^2\), \(-5x\), and \(2\). The GCF of these terms is 1, as there are no common factors other than 1. Therefore, the GCF of the terms of \(3x^2 - 15x + 6\) is 1.

Quick Answer

The GCF of \(3x^2 - 15x + 6\) is 1.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions