Chapter 4.1, Problem 15C

To determine

To find the factors of the given monomials.

Answer to Problem 15C

  $3\times x\times x\times x\times y\times y$

Explanation of Solution

Given Information: Monomial $3x^3{y}^2$

Formula Used: 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.

3 | $x^3{y}^2$

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

Here the factor of 3 is 3. And the degree of variable x and y is 3 and 2 respectively .

As the degree is 3 and 2 , write the respective variable 3 and 2 times.

Hence the factors are $3\times x\times x\times x\times y\times y$