MHB Need help factoring and understanding Grouping

  • Thread starter Thread starter hououin kyouma1
  • Start date Start date
  • Tags Tags
    Factoring Grouping
Click For Summary
To factor the expression 6t^2 + 17t + 7, first break it down into 6t^2 + 3t + 14t + 7. Next, group the terms: factor out 3t from the first group (6t^2 + 3t) and 7 from the second group (14t + 7). This results in 3t(2t + 1) + 7(2t + 1), revealing a common factor of (2t + 1). Finally, factor out the common term to obtain the fully factored form: (2t + 1)(3t + 7). Understanding these steps is crucial for mastering polynomial factoring techniques.
hououin kyouma1
Messages
1
Reaction score
0
I need to factor 6t^2+17t+7 when I break down the equation I get 6t^2+3t+14t+7 now I am not sure what to do after that to get my answer can someone please explain the steps for me thank you!
 
Mathematics news on Phys.org
hououin kyouma said:
I need to factor 6t^2+17t+7 when I break down the equation I get 6t^2+3t+14t+7 now I am not sure what to do after that to get my answer can someone please explain the steps for me thank you!

Factorise the first two terms, and factorise the second two terms. Then you should see a common factor.
 
hououin kyouma said:
I need to factor 6t^2+17t+7 when I break down the equation I get 6t^2+3t+14t+7
I presume you wrote it that way because you can now factor "3t" out of "6t^2+ 3t and factor "7" out of "14t+ 7". What does that leave?

now I am not sure what to do after that to get my answer can someone please explain the steps for me thank you!
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
View full post »

Similar threads

MHB -c03 write prime factorization of the LCM of A and B
  • · Replies 3 ·
Replies
3
Views
943
I Different Substitution for Solving an Integral
  • · Replies 6 ·
Replies
6
Views
2K
MHB -c5.LCM and Prime Factorization of A,B,C
  • · Replies 3 ·
Replies
3
Views
1K
MHB Help with factoring trinomials
  • · Replies 15 ·
Replies
15
Views
5K
MHB How Do You Calculate Average Revenue Per Group?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Can You Factor Out (x-a)^(-3/2) in This Complex Equation?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Partially Decoupled System with 3 variables
  • · Replies 4 ·
Replies
4
Views
2K
Why Do I Get Different Results When Calculating Powers and Indices?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Factoring Polynomial: Get Expert Help Now!
  • · Replies 11 ·
Replies
11
Views
3K
MHB What is the factorization of $30x^4-41x^3y-129x^2y^2+100xy^3+150y^4$?
  • · Replies 4 ·
Replies
4
Views
3K