Chapter 6.5, Problem 24PPS

To determine

To find: the factor of the given polynomial and check whether the polynomial is factored or prime.

Answer to Problem 24PPS

Prime polynomial.

Explanation of Solution

Given:

The given polynomial is $18x^6+5y^6$ .

Calculation:

Now, to find the factor of the given polynomial. Therefore,

  $\begin{array}{l}18x^6=2\times 3\times 3\times x^6\\ 5y^6=5\times y^6\end{array}$

Since the first term and second term both are not perfect cubes,

Therefore, the equation is prime.

Hence, the factor of the given polynomial is prime polynomial.