Chapter 4.1, Problem 16C

To determine

To find the factors of the given monomials.

Answer to Problem 16C

  $2\times 2\times 3\times 3\times s\times s\times s\times s\times t$

Explanation of Solution

Given Information: Monomial $36s^{4}t$

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

Calculation:

Separate the coefficients of the number from its variables and constants.

36 | $s^{4}t$

Now find the factors of the coefficient i.e. constant. And find the degree of the variables.

Here the factor of 36 i $2\times 2\times 3\times 3$ . And the degree of variables s is 4 and t is 1.

As the degree is 4 and 1, write the variables s and t 4 and 1 times respectively.

Hence the factors are

  $2\times 2\times 3\times 3\times s\times s\times s\times s\times t$