Chapter 4.1, Problem 55E

To determine

To write the factors of the given mononomial.

Answer to Problem 55E

  $2\times 2\times 2\times 5\times m\times m\times n$

Explanation of Solution

Given Information: $40m^{2}n$

Formula used: To factor a monomial completely, write the coefficient as a product of primes and expand the variable part.

Calculation:

Expand and separate the variables from its coefficients.

  $\text{40 }|{\text{ m}}^{2}n$

In the next step, expand each individually-

  $2\times 2\times 2\times 5\times m\times m\times n$