Factor 2x - 1.
Understand the Problem
The question is asking to factor the expression 2x - 1, which involves breaking it down into a product of simpler expressions.
Answer
The factored form of the expression is $2(x - \frac{1}{2})$.
Answer for screen readers
The factored form of the expression $2x - 1$ is $2(x - \frac{1}{2})$.
Steps to Solve
- Identify the expression to factor
The expression we have is $2x - 1$.
- Factor by grouping (if applicable)
For $2x - 1$, we look for common factors. Here, the terms don’t have a common factor other than 1, so we can try to express it differently. We can rewrite the expression as:
$$ 2x - 1 = 2(x - \frac{1}{2}) $$
- Final confirmation of the factored form
Now we can see that we have factored it as much as possible, and the expression can be represented in its simplest factored form.
The factored form of the expression $2x - 1$ is $2(x - \frac{1}{2})$.
More Information
Factoring expressions helps to simplify mathematical calculations, especially when solving equations or evaluating expressions. In this case, $2x - 1$ is a linear expression which can be useful in various contexts, such as finding intercepts in graphing.
Tips
- Forgetting that $2x - 1$ cannot be factored further into linear factors without introducing fractions.
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