Determine if the expression 3 r^ 5+8r^3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer
Attempt 1 out of 3
The given expression
is a polynomial.
A polynomial is an algebraic expression that consists of variables and coefficients, combined by addition, subtraction, and multiplication, but not division or square roots.
In the given expression, we have the terms 3r^5 and 8r^3, which are both multiplied by coefficients of 3 and 8 respectively. Therefore, it satisfies the definition of a polynomial.
The type of the polynomial is a binomial since it has two terms: 3r^5 and 8r^3. The degree of the polynomial is 5, which is determined by the highest power of the variable r.