The algebraic expression is x^3+x/x.
The algebraic expression for the given verbal statement, "The quotient of the two more than the cube of a number and the number," is represented as x^3+x/x.
Breaking down the expression, x3represents the cube of the number, and x represents the number itself. The phrase "two more than" is denoted by the addition of +1 to the cube of the number, resulting in x^3+x. The term "quotient of" implies division, so the entire expression is then divided by the number x, reflecting the ratio of the sum of the cube of a number and the number itself to the number.