Question

Which of the following are polynomials

Answer 1

E is definitely a polynomial. it has 3

Answer 2

All expressions are polynomials, consisting of variables raised to non-negative integer powers. No radicals or variables in denominators are allowed, so the correct option is A, B, C, D, E, F.

A polynomial is an expression that consists of variables and coefficients, with the variables raised to non-negative integer powers. The coefficients can be any real or complex numbers.

A.
`$-x^(3)+5x^(2)+7√(x)-1$`

This expression is a polynomial because it consists of the variable x raised to the non-negative integer powers 3 and 2, and the coefficients -1, 5, and
`$7√(x)$`.

B.
`$(3)/(5)x^(4)-18x^(3)+x^(2)-10x+35$`

This expression is a polynomial because it consists of the variable x raised to the non-negative integer powers 4, 3, 2, and 1, and the coefficients 3/5, -18, -10, and 35.

C.
`$5~3x^(2)+3x-(2)/(x)+6$`

This expression is a polynomial because it consists of the variable $x$ raised to the non-negative integer powers 2 and -1, and the coefficients
`$5~3$`, 3, -2, and 6.

D.
`$3x^(3)-9$`

This expression is a polynomial because it consists of the variable x raised to the non-negative integer power 3, and the coefficients 3 and -9.

E.
`$2x^(-2)+5x-3$`

This expression is a polynomial because it consists of the variable x raised to the non-negative integer power -2, and the coefficients 2, 5, and -3.

Therefore, the correct option is A, B, C, D, E, F.