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# Activity 1 which is which determine whether each of the following is a polynomial expression or not give your reasons page 106​

• Réponse publiée par: ian2145
For your report to the class, start by stating the conditions of polynomials:

1)  Literal coefficients (the variable and its exponents) do not have negative exponents.
Example of expression with negative exponents:
3x⁻⁵  (properly written as 3/x⁵)
3x³ - x⁻² + 5x    (properly written as 1/x²)
(These examples are not polynomials)

2⁻³   is a polynomial because it's a constant, not a coefficient. (2⁻³ is the same as 1/2³   or  1/8.)

2.)  Literal coefficients do not have rational/fractional exponents.
Examples with rational/fractional exponents: (properly written as 3.)  No literal coefficients as denominators (because it's the same as condition number 1)
Examples of variable/literal coefficient as a denominator:
6/x²  (this is the same as 6x⁻²)

4.) No literal coefficients/variables as radical expression (because it's the same as condition number 2).
Examples of variables/literal coefficients as radical expression. (this radical expression is the same as The conditions enumerated above will be you basis/es for identifying a polynomial.

1)  Not a polynomial because it has literal coefficients as denominators. They are 2x³  and  3x⁴.  (Check condition of polynomial #3)

For the rest of the given expressions, just check the conditions of polynomials.
• Réponse publiée par: enrica11