Which of the following are polynomials? A. x^2 + x + 1/x^2 + 1
B. 2/x^3 + x + 1/2
C. 2/3x^2 + x + 1
D. x^2/3 + 0x + 1
E. x^3 + 2x + square root of 2

The polynomials are:

x² + x + 1 ⇒ C

x³ + 2x +√2 ⇒ E

Step-by-step explanation:

A polynomial: is an expression consisting of variables and coefficients, with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

Let us solve the question

∵ The polynomial never division by a variable

∵ Answer A and B have a division in variable ⇒ ( , )

∴ Answers A and B are not polynomials

∵ The polynomial has integer exponents of variables

∵ Answer D has a fraction exponent of x ⇒

∴ Answer D is not a polynomial

∵   x² + x + 1 has a non-negative integer exponent of x

∵ There is no division by x

∴   x² + x + 1 is a polynomial

∵ x³ + 2x +√2 has a non-negative integer exponent of x

∵ There is no division by x

∴ x³ + 2x +√2 is a polynomial

∴ The polynomials are x² + x + 1 and x³ + 2x +√2

okay wait before i answer, is this for your points on a graph?

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: