Question

question
determine if the expression (-p^3sqrt{7}) is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial.
answer attempt 1 out of 2
the given expression (quad) a polynomial.

Explanation:

Step1: Recall polynomial definition

A polynomial in variable $p$ is an expression of the form $\sum_{i=0}^{n} a_i p^i$, where $a_i$ are constants, and exponents of $p$ are non-negative integers.

Step2: Analyze the given expression

The expression is $-p^5\sqrt{7}$, which can be rewritten as $-\sqrt{7}p^5$. Here, the coefficient $-\sqrt{7}$ is a constant, and the exponent of $p$ is 5, a non-negative integer.

Step3: Classify the polynomial

A single-term polynomial is a monomial. The degree is the highest exponent of the variable, which is 5.

Answer:

The given expression is a polynomial. It is a monomial, and its degree is 5.