Chapter 9, Problem 7PT

To determine

To calculate:To factor the monomial

  $26b^3{c}^{2}d$

Answer to Problem 7PT

The factor of the monomial $26b^3{c}^{2}d$ is $1\times 2\times 13\times b\times b\times b\times c\times c\times d$ .

Explanation of Solution

Given information:

Monomial $26b^3{c}^{2}d$

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 $=$$26b^3{c}^{2}d$

Using the above definition of a monomial, we have:

Prime factors of $26=1\times 2\times 13$

Prime factors of $b^3=b\times b\times b$

Prime factors of $c^2=c\times c$

Prime factors of $d=d$

Thus, the factor of the monomial

  $26b^3{c}^{2}d$ is $1\times 2\times 13\times b\times b\times b\times c\times c\times d$ .

Conclusion:

The factor of the monomial $26b^3{c}^{2}d$ is $1\times 2\times 13\times b\times b\times b\times c\times c\times d$ .