No
Step-by-step explanation:
No, not all algebraic expressions are polynomials. But all polynomials are algebraic expressions. The difference is that polynomials include only variables and coefficients with mathematical operations(+, -, ×) but algebraic expressions include irrational numbers in the powers as well.
A polynomial is constructed from constants and variables by adding and multiplying. Algebraic expressions include many things that are not polynomials, including rational funtions, which come from dividing polynomials, and things like √x. As a general rule of thumb if an algebraic expression has a radical in it then it isn't a polynomial.
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