The polynomial expression x² can be factored as follows:
x² represents x multiplied by itself, so the factorization is:
x² = x * x
In terms of understanding this factorization, it’s important to recognize that when a variable is squared, it means it’s being used as a factor twice. Therefore, x² can be expressed as:
- Factors: x and x
- Product: x multiplied by x
In a more general view, if you were asked to factor a quadratic expression like ax² + bx + c, the process would involve finding two numbers that multiply to ac and add up to b. However, since we’re dealing with the specific case of x², the straightforward factorization is simply:
x² = x * x
This factorization remains consistent across various mathematical contexts and is a foundational aspect of algebra. It’s crucial in simplifying expressions and solving equations. Thus, if someone inquires about the factorization of x², you can confidently respond with x * x.