Question

Which expressions are polynomials?

Select each correct answer.
1)6 + p

2)x – 1

3)8x−z3

4)5x2−x√

Answer 1

1)6 +p
2) x-1
3) 8x-z3

4 has a root so it is not a polynomial

Answer 2

Explanation:

Definition : The expression that can have constants (like 4), variables (like x or y) and exponents (like the 2 in
`y^(2)`), that can be combined using addition, subtraction, multiplication and division, but no division by a variable and a variable's exponents can only be 0,1,2,3,... etc. and it can't have an infinite number of terms.

1. 6 + p

Being p be a variable this equation is polynomial

2. x – 1

Since x-1 has variable and constant so according to definition it is a polynomial

3. 8x−z3

According to definition it is a polynomial

4 .
`5x^(2)-x\sqrt{}`

Since has root so it is not a polynomial .