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Determine if the expression 3r ^ 5 + 8r ^ 3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
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what type of polynomial is it
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GPT 3.5
Yes, the expression 3r^5 + 8r^3 is a polynomial.
A polynomial is an expression with one or more terms, where each term consists of a constant multiplied by a variable raised to a non-negative integer exponent.
In this expression, we have two terms: 3r^5 and 8r^3. Both of these terms consist of a constant (3 and 8, respectively) multiplied by a variable (r) raised to a non-negative integer exponent (5 and 3, respectively).
Therefore, the expression 3r^5 + 8r^3 is a polynomial.
To determine the type and degree of the polynomial, we consider the term with the highest exponent on the variable.
In this case, the highest exponent is 5, so the polynomial is a 5th degree polynomial.
A polynomial is an expression with one or more terms, where each term consists of a constant multiplied by a variable raised to a non-negative integer exponent.
In this expression, we have two terms: 3r^5 and 8r^3. Both of these terms consist of a constant (3 and 8, respectively) multiplied by a variable (r) raised to a non-negative integer exponent (5 and 3, respectively).
Therefore, the expression 3r^5 + 8r^3 is a polynomial.
To determine the type and degree of the polynomial, we consider the term with the highest exponent on the variable.
In this case, the highest exponent is 5, so the polynomial is a 5th degree polynomial.
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