- #1
kadavis2010
- 15
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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.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
Factoring is the process of breaking down an algebraic expression into simpler terms that can be multiplied together to obtain the original expression.
To factor a polynomial expression, you can use the method of grouping, the quadratic formula, or the method of trial and error. In this case, we will use the method of grouping to factor 6x^2-11x+4.
To factor 6x^2-11x+4, we first need to find two numbers that multiply to give us 6x^2 and add to give us -11x. These numbers are -3x and -2x. We can then split the middle term -11x into -3x and -2x and factor by grouping.
6x^2-3x-2x+4
3x(2x-1)-2(2x-1)
(3x-2)(2x-1)
Factoring is an important skill in algebra as it allows us to simplify complicated expressions, solve equations, and identify patterns in numbers. It is also used in many real-life applications such as in the fields of engineering, physics, and economics.
Some tips for factoring include looking for common factors, using the distributive property, and grouping terms with similar variables. It is also helpful to practice factoring different types of expressions to become more familiar with the process.