Factor 6x^2-11x+4 with the AC Method

  • Thread starter Thread starter kadavis2010
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around factoring the quadratic expression 6x^2 - 11x + 4 using the AC method. Participants are exploring various approaches to find the correct factorization.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Some participants attempt to factor the expression using trial and error, while others suggest using the AC method to find suitable factors of the product of coefficients. There is confusion regarding the correct form of the factorization and whether certain proposed factors are valid.

Discussion Status

The discussion is ongoing, with participants providing different methods and questioning the validity of proposed factors. Some guidance has been offered regarding the AC method, but there is no explicit consensus on the correct factorization yet.

Contextual Notes

Participants note that the factorization must adhere to a specific form, which may be contributing to misunderstandings in the proposed solutions. There is also mention of the need to find factors that sum to a specific value related to the coefficients.

kadavis2010
Messages
15
Reaction score
0

Homework Statement


6x^2-11x+4


Homework Equations


none


The Attempt at a Solution


MP
24
6x-2
6x+12

answer being: 6x+2 and x-2
 
Physics news on Phys.org


By the trial&error method, for 6x^2 - 11x + 4,
(6x + ?)(x +... you know this one is no good.
(6x - ?)(x - ?)
(2x - ?)(3x - ?)

You get a product of 4 from any of these:
4=4*1=2*2
 


thanks but it has to be an answer in like the form i stated. Or maybe i am just not understanding you...
 


kadavis2010 said:

Homework Statement


6x^2-11x+4


Homework Equations


none


The Attempt at a Solution


MP
24
6x-2
6x+12

answer being: 6x+2 and x-2
Are you saying that the factorization is (6x + 2)(x -2)? Whether you are or aren't, these aren't the factors of 6x^2 -11x + 4.
 


Try the AC method
6x^2-11x+4 coef for A=6; coef for c=4 product 6(4)=24;
find facors of 24 which can make 11 (3 and 8)
hth
 

Similar threads

How do I factor this cubic polynomial?
  • · Replies 26 ·
Replies
26
Views
4K
How Do You Solve the Inequality 6x^2+5x < 4?
  • · Replies 4 ·
Replies
4
Views
2K
No idea -- algebraic manipulation involving powers
  • · Replies 26 ·
Replies
26
Views
4K
What Is the Monic Greatest Common Divisor of Two Given Polynomials?
  • · Replies 4 ·
Replies
4
Views
3K
A cubic equation and its roots
  • · Replies 21 ·
Replies
21
Views
3K
Proving Inequality $$4x^4 + 4y^3 + 5x^2 + y + 1 \ge 12xy$$
  • · Replies 16 ·
Replies
16
Views
2K
Simplifying Fraction: (6x+12y)/(10a+5) * (100a^2-25)/(9x^2-81y^2)
  • · Replies 8 ·
Replies
8
Views
2K
Quadratic function minimal value
  • · Replies 11 ·
Replies
11
Views
2K
What Values of \( p \) Ensure \( p(x^2+2) < 2x^2+6x+1 \) for All \( x \)?
  • · Replies 16 ·
Replies
16
Views
2K
Stuck in algebra factoring polynomial
  • · Replies 12 ·
Replies
12
Views
3K