To classify the expression 5x + 3x^2 + 7x + 2, we first need to combine like terms. The terms in this expression are:
- 5x (first degree term)
- 3x^2 (second degree term)
- 7x (first degree term)
- 2 (constant term)
Now, let’s combine the like terms:
- The first degree terms are 5x and 7x. Adding these together gives (5 + 7)x = 12x.
So now the expression can be rewritten as:
3x^2 + 12x + 2
Now, we can classify this polynomial. It is a polynomial of degree 2 because the highest exponent of variable x is 2 (from the term 3x^2). Since the leading coefficient (the coefficient of the highest degree term) is 3, this is a quadratic polynomial.
In summary, the classification of the expression 5x + 3x^2 + 7x + 2 is that it is a quadratic polynomial.