Chapter 9, Problem 6PT

To determine

To calculate:To factor the monomial

  $-15rs$

Answer to Problem 6PT

The factor of the monomial $-15rs$ is $-1\times 3\times 5\times r\times s$ .

Explanation of Solution

Given information:

Monomial $-15rs$

Formula Used:

To find the factor of a monomial, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together.

Calculation:

Given Monomial $=$ $-15rs$

Using the above definition of a monomial, we have:

Prime factors of $15=1\times 3\times 5$

Prime factors of $r=r$

Prime factors of $s=s$

Thus, the factor of the monomial $-15rs$ is $-1\times 3\times 5\times r\times s$ .

Conclusion:

The factor of the monomial $-15rs$ is $-1\times 3\times 5\times r\times s$ .