Question
upstudy study bank question image url

Identify the greatest common factor of \( 12 x^{2} \) and \( 10 b^{3} x^{4} \)

Ask by Hodges Schofield. in the United States
Mar 10,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The greatest common factor is \( 2x^{2} \).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Mind Expander

To find the greatest common factor (GCF) of \( 12x^{2} \) and \( 10b^{3}x^{4} \), we first analyze the coefficients and the variables separately. The coefficients are 12 and 10, and the GCF of 12 and 10 is 2. Next, we look at the variable parts. The expression \( x^{2} \) indicates we have \( x \) raised to the power of 2 in the first factor, and \( x^{4} \) in the second. The GCF takes the variable with the lowest exponent, which is \( x^{2} \). Since the variable \( b \) doesn’t appear in both expressions, it is not included in the GCF. Thus, combining the GCF of the coefficients and the variable, we get: \[ \text{GCF} = 2x^{2} \]

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • 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

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy