Factoring x^2 + 2x
In algebra, factoring is the process of rewriting an expression as the product of two or more smaller expressions. This can be useful for simplifying expressions, solving equations, and finding the roots of polynomials.
One common factoring technique is to factor out a common factor. In the expression x^2 + 2x, the common factor is x. We can factor out x to get:
x^2 + 2x = x(x + 2) This expression is now factored into two terms, each with a degree of 1.
Related questions
- What is the factored form of x^2 + 2x?
- How do you factor x^2 + 2x?
- What are the roots of x^2 + 2x?
Answers
- The factored form of x^2 + 2x is x(x + 2).
- To factor x^2 + 2x, we can factor out a common factor of x. This gives us x(x + 2).
- The roots of x^2 + 2x are -2 and 0.
Discussion
Factoring x^2 + 2x is a relatively simple factoring problem. However, it is a good example of how factoring can be used to simplify expressions. In this case, factoring x^2 + 2x reduces the expression from a quadratic to a binomial. This can make it easier to solve equations or find the roots of polynomials.
Here are some other examples of factoring x^2 + 2x:
- x^2 + 2x + 1 = (x + 1)(x + 1)
- x^2 + 2x – 1 = (x – 1)(x + 1)
In general, any quadratic expression of the form ax^2 + bx + c can be factored as:
(x + p)(x + q) where p and q are the roots of the quadratic equation ax^2 + bx + c = 0.