Question

Determine if the expression 6, r, to the power minus 26r −2 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

Answer 1

`\(6r^(-26r-2)\)` is not a polynomial.

To determine if the expression
`\(6r^(-26r-2)\)` is a polynomial, let's analyze its structure.

A polynomial is an algebraic expression consisting of variables and coefficients, where the variables are raised to non-negative integer powers. The given expression is
`\(6r^(-26r-2)\)`.

However, the presence of the term
`\(r^(-26r-2)\)` with a negative exponent makes this expression not a polynomial. In a polynomial, the exponents of the variables must be non-negative integers.

Therefore,
`\(6r^(-26r-2)\)` is not a polynomial.