Which algebraic expressions are polynomials? check all that apply.

pi x minus startroot 3 endroot + 5 y

x2y 2 – 4x3 + 12y

startfraction 4 over x endfraction – x2

– 16

3.9x3 – 4.1x2 + 7.3

All the expressions are polynomials

Step-by-step explanation: To identify the below algebraic expression, we should start by a definition of polynomials

Polynomial is an algebraic expression wich consist of various term

according to the number of terms Polynomials are name

bynomial  if it is of two terms

trynomial if it is of three terms

Monomial is not a polynomial, since that expression only has one term

Now the main question is??  What is term

Term is a block, or set of letters , numbers and simbols ( such as √ ,² etc) separated with + or - sign, from others in an algebraic expression

For instance  

ax²  +  bx  + c   is a trynomial

three terms   ax²               bx               and        c

- 12x³ √2zb -  4  +  2x     as you can see has three terms

Now let have a look at the question

π*x  - √3   +   5y          is a trynomial

π*x  - √3   +   5y +x²y² - 4x³ +12y      is a polynomial

4/x  - x² - 16         is a trynomial

3.9x³  -  4.1x²  + 7.3    is a trynomial