In questions 1 – 5, decide whether the given expression is a polynomial and tell why or why not.

1. 3x^2 – 5x + 2

AThis is not a polynomial because 5x is subtracted from 3x2.
BThis is a polynomial because 5 is in front of x.
CThis is not a polynomial because 3 is in front of x2.
DThis is a polynomial because it is the sum of monomials with whole-number exponents.
E This is not a polynomial because it contains x2.
F Not enough information.

2. 1/x^4 + 5x^2 – 4x + 1

AThis is a polynomial because it contains x2
BThis is not a polynomial because x4 is in the denominator.
CThis is not a polynomial because it contains x2
DThis is not a polynomial because there are too many exponents.
E This is a polynomial because the exponents can be divided evenly by two.
F Not enough information.

3. 4x^-3 + 3x^2 + 2x + 1

AThis is not a polynomial because there are too many exponents.
BThis is a polynomial because it contains x2
CThis is not a polynomial because it contains x2
DThis is not a polynomial because 3 is in front of x2
E This is not a polynomial because the terms are not written in the correct order.
F This is not a polynomial because x is raised to a negative power in the first term.

4. 7x^5 + 3x^4 - 2x^2 + 7

ANot enough information.
BThis is not a polynomial because 3 is in front of x2
CThis is a polynomial because it contains x2
DThis is not a polynomial because 3 is in front of x4
E This is a polynomial because it is the sum of monomials with whole-number exponents.
F This is not a polynomial because the exponents are not divisible by 2.

5. (√x) + 12

AThis is not a polynomial because the variable is underneath a square root sign.
BThis is not a polynomial because it does not contain x2
CThis is not a polynomial because the exponents are not divisible by 2.
DThis is a polynomial because it contains no negative exponents.
E This is a polynomial because there are no variables in the denominator.
F This is not a polynomial because the x has no positive coefficient.