We appreciate your visit to What is the GCF of tex 2x 6 12x 4 tex A tex 2x 4 tex B tex 2x tex C tex 2x 6 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find the greatest common factor (GCF) of the expression [tex]\(2x^6 - 12x^4\)[/tex], let's follow these steps:
1. Factor out the common constants and variables:
- Look at the coefficients first. In the terms [tex]\(2x^6\)[/tex] and [tex]\(12x^4\)[/tex], the coefficients are 2 and 12.
- The greatest common factor of 2 and 12 is 2.
2. Factor out the common variable terms:
- Both [tex]\(2x^6\)[/tex] and [tex]\(12x^4\)[/tex] have the variable [tex]\(x\)[/tex].
- The exponents are 6 and 4, so we take the lower exponent, which is [tex]\(x^4\)[/tex].
3. Combine the factored constants and variables:
- The GCF of the entire expression is [tex]\(2 \times x^4 = 2x^4\)[/tex].
So, the greatest common factor of [tex]\(2x^6 - 12x^4\)[/tex] is [tex]\(2x^4\)[/tex]. Therefore, the correct answer is [tex]\(2x^4\)[/tex].
1. Factor out the common constants and variables:
- Look at the coefficients first. In the terms [tex]\(2x^6\)[/tex] and [tex]\(12x^4\)[/tex], the coefficients are 2 and 12.
- The greatest common factor of 2 and 12 is 2.
2. Factor out the common variable terms:
- Both [tex]\(2x^6\)[/tex] and [tex]\(12x^4\)[/tex] have the variable [tex]\(x\)[/tex].
- The exponents are 6 and 4, so we take the lower exponent, which is [tex]\(x^4\)[/tex].
3. Combine the factored constants and variables:
- The GCF of the entire expression is [tex]\(2 \times x^4 = 2x^4\)[/tex].
So, the greatest common factor of [tex]\(2x^6 - 12x^4\)[/tex] is [tex]\(2x^4\)[/tex]. Therefore, the correct answer is [tex]\(2x^4\)[/tex].
Thanks for taking the time to read What is the GCF of tex 2x 6 12x 4 tex A tex 2x 4 tex B tex 2x tex C tex 2x 6 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
