Question

Determine if the expression -4c5 + c3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial. .

Answer 1

It is a polynomial. 5th degree (incomplete) polynomial. Binomial.

1) Considering the expression:

`-4c^5+c^3`

2) And the Polynomial definition as:

`P(x)=a_nx^n+a^{}_(n-1)x^(n-1)+.\ldots+a_0`

We can state that this is an incomplete polynomial.

About the degree, it is a 5th-degree polynomial given by its highest exponent.

Binomial since it has two terms.

3) Hence the answer is an incomplete polynomial, 5th degree.