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.
thanks for free pionts
the prime numbers are : 31, 37, 41, 43, 47, 53, 59. add it all and you will get 311. answer : 311
_ b _ b _ b _ b -> 4! *4!
_ g _ g _ g _ g -> 4! *4!
so, 2*4! *4! = 576*2 = 1152 answer)