Answer:
Please check the explanation.
Step-by-step explanation:
We know that
- An expression can not be a polynomial if any term has a negative exponent
- An expression can not be a polynomial if any term has a fraction exponent
- An expression can not be a polynomial if any term contains division by a variable.
2)
Given the expression
f(x) = 3x + 4/3 x³ - 7
The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms
3)
Given the expression
g(x) =- 5x³ + x - 3/x
The given expression is NOT a polynomial as any term of a polynomial can not have exponent as -1.
For example, the term 3/x or 3x⁻¹ has negative exponent -1.
Thus, g(x) =- 5x³ + x - 3/x
4)
Given the expression
h(x) =x³√5 + x - 3
The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms
5)
Given the expression
k(x)=25x²-x³+x⁵
The given expression is a polynomial with a degree of 5 (highest power of any variable) and having 3 terms.
