Question

Tell whether the expression is a polynomial. If it is, give its degree. Mit is not, state why not. 9 Is the given expression a polynomial? What is the degree? Select the correct choice below and fill in the answer box within your choice if necessary.

O A. The given expression is a polynomial. Its degree is
O B. The given expression is not a polynomial, because the leading coefficient is 0.
O C. The given expression is not a polynomial, because the degree of the expression is 0.

Answer 1

The expression 9 is a polynomial with a degree of 0, as it is a monomial consisting of a single constant, equivalent to 9x^0.

Step-by-step explanation:

The correct option : c

The given expression 9 is considered a polynomial. A polynomial can consist of constants, variables, and exponents that are non-negative integers combined using addition, subtraction, and multiplication. However, since the expression consists of a single constant without any variables, it is a special case called a monomial.

In this case, the expression 9 has no variable part, which means it is equivalent to 9x0, because any non-zero number raised to the power of 0 equals 1. Hence, the degree of the expression is the highest power of the variable present in the polynomial. The expression 9 can be considered as having an implied variable with an exponent of 0, so the degree of this polynomial is 0.

Therefore, the correct choice is:

O A. The given expression is a polynomial. Its degree is 0.