Question

Determine if the expression 5r^4 - 4r^4 s^5 is a polynomial or not. If it is a polynomial,

state the type and degree of the polynomial.

Answer 1

Explanation:

It is a polynomial. A polynomial must have the following properties (among others).

• the power must be an whole number.
• It cannot have a minus power.
• It can have more than one variable.

Degree: So for this example the degree is 4 + 5 = 9. Derived from 4r^4 s^5

There is one isolated - sign with 2 terms on either side of the minus sign.

Type: It is a binomial