Determine if the expression 3, r, to the power 5 , plus, 8, r, cubed3r
5
+8r
3
is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer
Attempt 3 out of 3
The given expression
a polynomial.
is a polynomial.
The type of the polynomial is a binomial, as it consists of two terms.
The degree of the polynomial is 8r^5, as it is the highest power of the variable in the polynomial.
Determine if the expression 3, r, to the power 5 , plus, 8, r, cubed3r
5
+8r
3
is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer
Attempt 3 out of 3
The given expression
represents
a polynomial. The polynomial is a
and has a degree of
.
Apologies for the confusion in my previous response.
The given expression is not a polynomial. This is because the exponent in the term 8r^3r^5 is not a whole number. In a polynomial, the exponents of the variable must be non-negative integers. Therefore, the expression given is not a polynomial.