Recognizing a polynomial function
Check the exponents and where the variable appears.
- A polynomial in
is a finite sum of constant multiples of non-negative integer powers of . - Negative or fractional powers of
, a variable denominator, and a variable exponent are not polynomial forms. - Coefficients can be negative, fractional or irrational.
Example 1
A fraction can be a coefficient
Determine whether the expression defines a polynomial function. Explain your answer.
Example 2
The variable is under a root
Determine whether the expression defines a polynomial function. Explain your answer.
Remember
A rational expression with a canceled factor can agree with a polynomial except at an excluded input. Keep that original domain in mind.
Your turn
5 practice questions0 of 5 answers checked
Is this a polynomial function of
Check answer
Is this a polynomial function of
Check answer
Is this a polynomial function of
Check answer
Is this a polynomial function of
Check answer
Is this a polynomial function of
Check answer
Is this a polynomial function of
Is this a polynomial function of
Is this a polynomial function of
Is this a polynomial function of
Is this a polynomial function of