To find an expression that is equivalent to 2x² + 2x + 7, we can factor or simplify depending on what we want to do with the expression. In this case, we can factor out the common term.
First, notice the terms:
- 2x² is a quadratic term.
- 2x is a linear term.
- 7 is a constant.
One way to work with this could be to factor out the ‘2’ from the first two terms:
2(x² + x) + 7
However, since there’s no common factor for all three terms, we cannot simplify any further by factoring.
So, 2x² + 2x + 7 does not have a simple factorization. It is already in its simplest form, and no expression is equivalent to it other than itself.
In conclusion, the expression equivalent to 2x² + 2x + 7 remains 2x² + 2x + 7.