Chapter 9.2, Problem 44STP

To determine

To Find:The prime factorization of $12x^3{y}^2$ .

A. $12\cdot x\cdot x\cdot x\cdot y\cdot y$

B. $2\cdot 2\cdot 3\cdot x\cdot x\cdot x\cdot y\cdot y$

C. $3\cdot 4\cdot x^3\cdot y^2$

D. $12\cdot x^3\cdot y^2$

Answer to Problem 44STP

4 rectangles can be drawn.

Explanation of Solution

Given information:

The prime factorization of $12x^3{y}^2$ isB. $2\cdot 2\cdot 3\cdot x\cdot x\cdot x\cdot y\cdot y$

Calculation:

From the graph, the age of boa constrictor is 30

Factor tree of 12:

  

The prime factorization of 12 is $2\cdot 2\cdot 3$

The prime factorization of $x^3$ is $x\cdot x\cdot x$

The prime factorization of $y^2$ is $y\cdot y$

Therefore the prime factors of $12x^3{y}^2$ is $2\cdot 2\cdot 3\cdot x\cdot x\cdot x\cdot y\cdot y$